Relevant bibliographies by topics / Free and projective modules

Contents

  1. Journal articles
  2. Dissertations / Theses
  3. Books
  4. Book chapters
  5. Conference papers
  6. Reports

Academic literature on the topic 'Free and projective modules'

Author: Grafiati
Published: 3 June 2025
Last updated: 22 June 2025

Create a spot-on reference in APA, MLA, Chicago, Harvard, and other styles

Select a source type:

Consult the lists of relevant articles, books, theses, conference reports, and other scholarly sources on the topic 'Free and projective modules.'

Next to every source in the list of references, there is an 'Add to bibliography' button. Press on it, and we will generate automatically the bibliographic reference to the chosen work in the citation style you need: APA, MLA, Harvard, Chicago, Vancouver, etc.

You can also download the full text of the academic publication as pdf and read online its abstract whenever available in the metadata.

Journal articles on the topic "Free and projective modules"

1

-, Fitriani, Indah Emilia Wijayanti, and Ahmad Faisol. "A Generalization of Projective Module." Journal of Mathematics Research 15, no. 1 (2023): 24. http://dx.doi.org/10.5539/jmr.v15n1p24.

Full text
Abstract:
Let $V$ be a submodule of a direct sum of some elements in $\mathcal{U}$, and $X$ be a submodule of a direct sum of some elements in $\mathcal{N}$, where $\mathcal{U}$ and $\mathcal{N}$ are families of $R$-modules. A $\mathcal{U}$-free module is a generalization of a free module. According to the definition of $\mathcal{U}$-free module, we define three kinds of projective$_{\mathcal{U}}$ in this research, i.e., projective$_{\underline{\mathcal{U}}}$, projective$_{\mathcal{U}}$ module, and strictly projective$_{\mathcal{U}}$ module. The notion of strictly projective$_{\mathcal{U}}$ is a generalization of the projective module. In this research, we discuss the relationship between projective modules and the three types of modules. Furthermore, we show that the properties of $\mathcal{U}$ impact the properties of the projective$_{\mathcal{U}}$ module so that we can determine some properties of the projective$_{\mathcal{U}}$ module based on the properties of the family of $\mathcal{U}$ of $R$-modules.
APA, Harvard, Vancouver, ISO, and other styles
2

Assaad, Refat Abdelmawla Khaled. "note on weak w-projective modules." New Zealand Journal of Mathematics 55 (June 11, 2024): 43–52. http://dx.doi.org/10.53733/336.

Full text
Abstract:
Let $R$ be a ring. An $R$-module $M$ is a weak $w$-projective module if ${\rm Ext}_R^1(M,N)=0$ for all $N$ in the class of $GV$-torsion-free $R$-modules with the property that ${\rm Ext}^k_R(T,N)=0$ for all $w$-projective $R$-modules $T$ and all integers $k\geq1$. In this paper, we introduce and study some properties of weak $w$-projective modules. We use these modules to characterise some classical rings. For example, we will prove that a ring $R$ is a $DW$-ring if and only if every weak $w$-projective is projective; $R$ is a von Neumann regular ring if and only if every FP-projective module is weak $w$-projective if and only if every finitely presented $R$-module is weak $w$-projective; and $R$ is $w$-semi-hereditary if and only if every finite type submodule of a free module is weak $w$-projective if and only if every finitely generated ideal of $R$ is weak $w$-projective.
APA, Harvard, Vancouver, ISO, and other styles
3

Isaac, Paul. "On injectiveL-modules." International Journal of Mathematics and Mathematical Sciences 2005, no. 5 (2005): 747–54. http://dx.doi.org/10.1155/ijmms.2005.747.

Full text
Abstract:
The concepts of free modules, projective modules, injective modules, and the like form an important area in module theory. The notion of free fuzzy modules was introduced by Muganda as an extension of free modules in the fuzzy context. Zahedi and Ameri introduced the concept of projective and injectiveL-modules. In this paper, we give an alternate definition for injectiveL-modules and prove that a direct sum ofL-modules is injective if and only if eachL-module in the sum is injective. Also we prove that ifJis an injective module andμis an injectiveL-submodule ofJ, and if0→μ→fv→gη→0is a short exact sequence ofL-modules, thenν≃μ⊕η.
APA, Harvard, Vancouver, ISO, and other styles
4

Razzaque, Asima, and Inayatur Rehman. "Some Developments in the Field of Homological Algebra by Defining New Class of Modules over Nonassociative Rings." Journal of Mathematics 2022 (August 31, 2022): 1–8. http://dx.doi.org/10.1155/2022/2792450.

Full text
Abstract:
The LA-module is a nonassociative structure that extends modules over a nonassociative ring known as left almost rings (LA-rings). Because of peculiar characteristics of LA-ring and its inception into noncommutative and nonassociative theory, drew the attention of many researchers over the last decade. In this study, the ideas of projective and injective LA-modules, LA-vector space, as well as examples and findings, are discussed. We construct a nontrivial example in which it is proved that if the LA-module is not free, then it cannot be a projective LA-module. We also construct free LA-modules, create a split sequence in LA-modules, and show several outcomes that are connected to them. We have proved the projective basis theorem for LA-modules. Also, split sequences in projective and injective LA-modules are discussed with the help of various propositions and theorems.
APA, Harvard, Vancouver, ISO, and other styles
5

Coutinho, S. C., та M. P. Holland. "Locally free (ℙn)-modules". Mathematical Proceedings of the Cambridge Philosophical Society 112, № 2 (1992): 233–45. http://dx.doi.org/10.1017/s0305004100070924.

Full text
Abstract:
The purpose of this paper is to study the structure of locally free modules over the ring of differential operators on projective space. Let be a non-singular, complex, algebraic variety. Denote by the sheaf of rings of differential operators over and by its ring of global sections. A -module M is called locally free if the associated sheaf ⊗ M is locally free as a sheaf of -modules. Locally free modules arise naturally in -module theory as inverse images of determined modules; see [1] for definitions and examples.
APA, Harvard, Vancouver, ISO, and other styles
6

Lemmer, A. A., and G. Naudé. "A glance back at the Quillen-Suslin theorem and the recent status o f the Bass-Quillen conjecture." Suid-Afrikaanse Tydskrif vir Natuurwetenskap en Tegnologie 8, no. 1 (1989): 3–8. http://dx.doi.org/10.4102/satnt.v8i1.859.

Full text
Abstract:
In his famous FAC-article J.P. Serre asked whether all finitely generated projective modules over K[X1,...,Xn] (K a field) are free. This question soon became known in the mathematical society as “Serre’s Conjecture”. This conjecture was proved independently in 1976 by A. A. Suslin and D. Quillen. Important further developments followed from the ideas in Quillen’s proof. In this article we discuss the geometric motivation of the original problem as well as certain aspects of Quillen’s proof. Then we discuss further developments, in particular a proof that finitely generated projective modules over R[X1,...,Xn], R a Bezout domain, are free. We also give attention to new results on the existence of free summands in projective modules. In the case of polynomial rings, this work strengthens Serre’s famous free summand theorem: if R is a Noetherian ring and P is a finitely generated projective R-module such that rank P > dim R, then there exists a free rank one summand in P. Finally we discuss the present status of the most important open problem in this field, namely the Bass-Quillen Conjecture: if R is a regular local ring, is every finitely generated projective R[X1,...,Xn] module free?
APA, Harvard, Vancouver, ISO, and other styles
7

Barwick, Brett, and Branden Stone. "Computing free bases for projective modules." Journal of Software for Algebra and Geometry 5, no. 1 (2013): 26–32. http://dx.doi.org/10.2140/jsag.2013.5.26.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Wang, Ren. "The MCM-approximation of the trivial module over a category algebra." Journal of Algebra and Its Applications 16, no. 06 (2017): 1750109. http://dx.doi.org/10.1142/s0219498817501092.

Full text
Abstract:
For a finite free EI category, we construct an explicit module over its category algebra. If in addition the category is projective over the ground field, the constructed module is a maximal Cohen–Macaulay approximation of the trivial module and is the tensor identity of the stable category of Gorenstein-projective modules over the category algebra. We give conditions on when the trivial module is Gorenstein-projective.
APA, Harvard, Vancouver, ISO, and other styles
9

Bass, Hyman, and Robert Guralnick. "Projective modules with free multiples and powers." Proceedings of the American Mathematical Society 96, no. 2 (1986): 207. http://dx.doi.org/10.1090/s0002-9939-1986-0818444-5.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Medina-Bárcenas, M., D. Keskin Tütüncü, and Y. Kuratomi. "A study on dual square free modules." Algebra and Discrete Mathematics 32, no. 2 (2021): 267–79. http://dx.doi.org/10.12958/adm1512.

Full text
Abstract:
Let M be an H-supplemented coatomic module with FIEP. Then we prove that M is dual square free if and only if every maximal submodule of Mis fully invariant. Let M=Li∈I Mi be a direct sum, such that M is coatomic. Then we prove that M is dual square free if and only if each Mi is dual square free for all i ∈ I and, Mi and Lj=iMj are dual orthogonal. Finally we study the endomorphism rings of dual square free modules. Let M be a quasi-projective module. If End R(M) is right dual square free, then M is dual square free. In addition, if M is finitely generated, then End R(M) is right dual square free whene ver M is dual square free. We give several examples illustrating our hypotheses.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Dissertations / Theses on the topic "Free and projective modules"

1

Tiger, Norkvist Axel. "Morphisms of real calculi from a geometric and algebraic perspective." Licentiate thesis, Linköpings universitet, Algebra, geometri och diskret matematik, 2021. http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-175740.

Full text
Abstract:
Noncommutative geometry has over the past four of decades grown into a rich field of study. Novel ideas and concepts are rapidly being developed, and a notable application of the theory outside of pure mathematics is quantum theory. This thesis will focus on a derivation-based approach to noncommutative geometry using the framework of real calculi, which is a rather direct approach to the subject. Due to their direct nature, real calculi are useful when studying classical concepts in Riemannian geometry and how they may be generalized to a noncommutative setting. This thesis aims to shed light on algebraic aspects of real calculi by introducing a concept of morphisms of real calculi, which enables the study of real calculi on a structural level. In particular, real calculi over matrix algebras are discussed both from an algebraic and a geometric perspective.Morphisms are also interpreted geometrically, giving a way to develop a noncommutative theory of embeddings. As an example, the noncommutative torus is minimally embedded into the noncommutative 3-sphere.<br>Ickekommutativ geometri har under de senaste fyra decennierna blivit ett etablerat forskningsområde inom matematiken. Nya idéer och koncept utvecklas i snabb takt, och en viktig fysikalisk tillämpning av teorin är inom kvantteorin. Denna avhandling kommer att fokusera på ett derivationsbaserat tillvägagångssätt inom ickekommutativ geometri där ramverket real calculi används, vilket är ett relativt direkt sätt att studera ämnet på. Eftersom analogin mellan real calculi och klassisk Riemanngeometri är intuitivt klar så är real calculi användbara när man undersöker hur klassiska koncept inom Riemanngeometri kan generaliseras till en ickekommutativ kontext. Denna avhandling ämnar att klargöra vissa algebraiska aspekter av real calculi genom att introducera morfismer för dessa, vilket möjliggör studiet av real calculi på en strukturell nivå. I synnerhet diskuteras real calculi över matrisalgebror från både ett algebraiskt och ett geometriskt perspektiv. Morfismer tolkas även geometriskt, vilket leder till en ickekommutativ teori för inbäddningar. Som ett exempel blir den ickekommutativa torusen minimalt inbäddad i den ickekommutativa 3-sfären.
APA, Harvard, Vancouver, ISO, and other styles
2

Smith, D. J. "Homology modules in projective space." Thesis, University of East Anglia, 2007. https://ueaeprints.uea.ac.uk/38270/.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Ahmed, Iftikhar. "Projective modules of group rings over quadratic number fields." Thesis, Durham University, 1994. http://etheses.dur.ac.uk/5669/.

Full text
Abstract:
Let K be a quadratic number field, Ok its ring of integers, and G a cyclic group of order prime p. In this thesis, we study the kernel group D(O(_K)G) and obtain a number of results concerning its order and structure. For K imaginary, we also investigate the subset R(O(_k)G) of the locally free class group CI(O(_k)G) consisting of classes which occur as rings of integers of tame extensions of K with Galois group isomorphic to G. We calculate R(O(_k)G) under a variety of conditions and obtain, for an arbitrary tame extension L o( K with group G, invariants which determine the class of O(_L) in R(O(_k)G).
APA, Harvard, Vancouver, ISO, and other styles
4

Kalaycioglu, Selin. "Computing the projective indecomposable modules of large finite groups." Diss., The University of Arizona, 2009. http://hdl.handle.net/10150/193610.

Full text
Abstract:
Let G be a finite group and F be a finite field. A projective indecomposable FG- module is an indecomposable direct summand of the group algebra FG. Computing the projective indecomposable modules of large finite groups has been always a challenging problem due to the large sizes of the representations of these groups. This dissertation describes a new algorithm for constructing the projective indecomposable modules of large finite groups. This algorithm uses the condensation techniques as described in [12]. The power of the algorithm will be illustrated by the examples of the socle series of all projective indecomposable modules of the sporadic simple Mathieu group M₂₄ and the simple alternating group A₁₂ in characteristic 2.
APA, Harvard, Vancouver, ISO, and other styles
5

O'Shea, S. "Stably free modules over virtually free groups." Thesis, University College London (University of London), 2013. http://discovery.ucl.ac.uk/1383774/.

Full text
Abstract:
We study stably free modules over various group rings Z[G], using the method of Milnor patching. In particular, we construct innite sets of stably free modules of rank one over various rings. Let Fn denote the free group on n generators. The two classes of group rings under consideration are: (i) Z[GxFn], where G is nite nilpotent and of non square-free order, and n > 2; (ii) Z[Q(12m) x C1], where Q(12m) is the binary polyhedral group of order 12m. The modules in question are constructed as pullbacks arising from bre square decompositions of the group rings. We also study the D(2)-problem of low-dimensional topology. We give an affirmative answer to the D(2)-problem for the dihedral group of order 4n, assuming the group ring Z[D4n] satisfies torsion free cancellation. By results of Swan, Endo, and Miyata, this happens for a number of small primes n. Johnson has shown that the groups D4n+2 satisfy the D(2)-property, but his result relies on the fact that D4n+2 has periodic cohomology, a property not shared by D4n. This forces us to introduce the torsion free cancellation hypothesis, and to explicitly realize the group of k-invariants (Z/4n).
APA, Harvard, Vancouver, ISO, and other styles
6

Hilburn, Justin. "GKZ Hypergeometric Systems and Projective Modules in Hypertoric Category O." Thesis, University of Oregon, 2016. http://hdl.handle.net/1794/20456.

Full text
Abstract:
In this thesis I show that indecomposable projective and tilting modules in hypertoric category O are obtained by applying a variant of the geometric Jacquet functor of Emerton, Nadler, and Vilonen to certain Gel'fand-Kapranov-Zelevinsky hypergeometric systems. This proves the abelian case of a conjecture of Bullimore, Gaiotto, Dimofte, and Hilburn on the behavior of generic Dirichlet boundary conditions in 3d N=4 SUSY gauge theories.
APA, Harvard, Vancouver, ISO, and other styles
7

Strouthos, I. "Stably free modules over group rings." Thesis, University College London (University of London), 2011. http://discovery.ucl.ac.uk/1325632/.

Full text
Abstract:
We study finitely generated stably free modules over group rings associated to particular groups, primarily using Milnor’s construction of projective modules over rings and Quillen’s Patching Theorem. For an odd prime number q, we study the stably free module category of the group ring of the dihedral group of order 2q over the ring of integer coefficient polynomials in one variable. We show that, over this group ring, every stably free module is free if every stably free module is free over a particular localisation of a cyclic algebra over the ring of algebraic integers corresponding to the prime q. Using this result, we show that every stably free module is free over the group ring of the dihedral group of order 6 over the ring of integer coefficient polynomials, and we later extend this result to all dihedral groups of order 2q. Furthermore, we consider a class of projective modules, which we regard as locally free, in a certain precise sense, and which are related to stably free modules under certain conditions. We show that, over the integral group ring of the direct product of a quaternion group of order 8 and the infinite cyclic group, there are infinitely many such locally free modules of rank 1. In addition, we show that, over the algebra of integer coefficient quaternions, every projective module is free. Finally this thesis includes a treatment of resolutions of indecomposable modules over the integral group ring of the dihedral group of order 6. By studying the irreducible integral representations of this dihedral group, we construct certain resolutions for which there is a notion of duality and diagonalisability in the constituent homomorphisms, via the syzygy operator.
APA, Harvard, Vancouver, ISO, and other styles
8

Ben, Hamouda-Guichoux Fabrice. "Diverse modules and zero-knowledge." Thesis, Paris Sciences et Lettres (ComUE), 2016. http://www.theses.fr/2016PSLEE022/document.

Full text
Abstract:
Les smooth (ou universal) projective hash functions ont été introduites par Cramer et Shoup, à Eurocrypt'02, comme un outil pour construire des schémas de chiffrement efficaces et sûrs contre les attaques à chiffrés choisis. Depuis, elles ont trouvé de nombreuses applications, notamment pour la construction de schémas d'authentification par mot de passe, d'oblivious transfer, de signatures en blanc, et de preuves à divulgation nulle de connaissance. Elles peuvent êtres vues comme des preuves implicites d'appartenance à certains langages. Un problème important est de caractériser pour quels langages de telles fonctions existent.Dans cette thèse, nous avançons dans la résolution de ce problème en proposant la notion de diverse modules. Un diverse module est une représentation d'un langage, comme un sous-module d'un module plus grand, un module étant un espace vectoriel sur un anneau. À n'importe quel diverse module est associée une smooth projective hash function pour le même langage. Par ailleurs, presque toutes les smooth projective hash functions actuelles sont construites de cette manière.Mais les diverse modules sont aussi intéressants en eux-mêmes. Grâce à leur structure algébrique, nous montrons qu'ils peuvent facilement être combinés pour permettre de nouvelles applications, comme les preuves implicites à divulgation nulle de connaissance (une alternative légère aux preuves non-interactives à divulgation nulle de connaissance), ainsi que des preuves non-interactives à divulgation nulle de connaissance et one-time simulation-sound très efficaces pour les langages linéaires sur les groupes cycliques<br>Smooth (or universal) projective hash functions were first introduced by Cramer and Shoup, at Eurocrypt'02, as a tool to construct efficient encryption schemes, indistinguishable under chosen-ciphertext attacks. Since then, they have found many other applications, including password-authenticated key exchange, oblivious transfer, blind signatures, and zero-knowledge arguments. They can be seen as implicit proofs of membership for certain languages. An important question is to characterize which languages they can handle.In this thesis, we make a step forward towards this goal, by introducing diverse modules. A diverse module is a representation of a language, as a submodule of a larger module, where a module is essentially a vector space over a ring. Any diverse module directly yields a smooth projective hash function for the corresponding language, and almost all the known smooth projective hash functions are constructed this way.Diverse modules are also valuable in their own right. Thanks to their algebraic structural properties, we show that they can be easily combined to provide new applications related to zero-knowledge notions, such as implicit zero-knowledge arguments (a lightweight alternative to non-interactive zero-knowledge arguments), and very efficient one-time simulation-sound (quasi-adaptive) non-interactive zero-knowledge arguments for linear languages over cyclic groups
APA, Harvard, Vancouver, ISO, and other styles
9

Kong, Maynard. "Characteristic classes of modules." Pontificia Universidad Católica del Perú, 2014. http://repositorio.pucp.edu.pe/index/handle/123456789/97347.

Full text
Abstract:
In this paper we have developed a general theory of characteristic classes of modules. To a given invariant map defined on a Lie algebra, we associate a cohomology class by using the curvature form of a certain kind of connections. Here we present a very simple proof of the invariance theorem (Theorem 12), which states that equivalent connections give rise to the same characteristic class. We have used those invariant maps of {9} to define Chern classes of projective modules and we have derived their basic properties. It might be interesting to observe that this theory could be applied to define characteristic classes of bilinear maps. In particular, the Euler classes of {6} can be obtained in this way.
APA, Harvard, Vancouver, ISO, and other styles
10

Kremer, Raymond Edward. "HOMOLOGICAL ALGEBRA WITH FILTERED MODULES." UKnowledge, 2014. http://uknowledge.uky.edu/math_etds/18.

Full text
Abstract:
Classical homological algebra is done in a category of modules beginning with the study of projective and injective modules. This dissertation investigates analogous notions of projectivity and injectivity in a category of filtered modules. This category is similar to one studied by Sjödin, Nǎstǎsescu, and Van Oystaeyen. In particular, projective and injective objects with respect to the restricted class of strict morphisms are defined and characterized. Additionally, an analogue to the injective envelope is discussed with examples showing how this differs from the usual notion of an injective envelope.
APA, Harvard, Vancouver, ISO, and other styles
More sources

Books on the topic "Free and projective modules"

1

Lam, Tsit Yuen. Serre’s Problem on Projective Modules. Springer Berlin Heidelberg, 2006. http://dx.doi.org/10.1007/978-3-540-34575-6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Mandal, Satya. Projective Modules and Complete Intersections. Springer Berlin Heidelberg, 1997. http://dx.doi.org/10.1007/bfb0093556.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Mandal, Satya. Projective modules and complete intersections. Springer, 1997.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
4

Blecher, David P. Categories of operator modules: Morita equivalence and projective modules. American Mathematical Society, 2000.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
5

Nakano, Daniel K. Projective modules over Lie algebras of Cartan type. American Mathematical Society, 1992.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
6

Johnsen, Trygve. K3 Projective models in scrolls. Springer, 2004.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
7

Johnsen, Trygve. K3 Projective models in scrolls. Springer, 2004.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
8

Mohamed, Saad H. Continuous and discrete modules. Cambridge University Press, 1990.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
9

Eklof, Paul C. Almost free modules: Set-theoretic methods. North-Holland, 1990.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
10

H, Mekler Alan, ed. Almost free modules: Set-theoretic models. North Holland, 2002.

Find full text
APA, Harvard, Vancouver, ISO, and other styles
More sources

Book chapters on the topic "Free and projective modules"

1

Lam, T. Y. "Free Modules, Projective, and Injective Modules." In Lectures on Modules and Rings. Springer New York, 1999. http://dx.doi.org/10.1007/978-1-4612-0525-8_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Lam, T. Y. "Free Modules, Projective, and Injective Modules." In Problem Books in Mathematics. Springer New York, 2007. http://dx.doi.org/10.1007/978-0-387-48899-8_1.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Handelman, David E. "Projective RK-modules are free." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1987. http://dx.doi.org/10.1007/bfb0078914.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Li, Huishi. "Computation of Finite Free Resolutions and Projective Dimension." In Noncommutative Polynomial Algebras of Solvable Type and Their Modules. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003213192-3.

Full text
APA, Harvard, Vancouver, ISO, and other styles
5

Anderson, Douglas R., and Hans J. Munkholm. "Free and projective rpg modules the algebraic whitehead groups of rpg." In Lecture Notes in Mathematics. Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0079810.

Full text
APA, Harvard, Vancouver, ISO, and other styles
6

Viehweg, Eckart. "Auxiliary Results on Locally Free Sheaves and Divisors." In Quasi-projective Moduli for Polarized Manifolds. Springer Berlin Heidelberg, 1995. http://dx.doi.org/10.1007/978-3-642-79745-3_6.

Full text
APA, Harvard, Vancouver, ISO, and other styles
7

Kaplansky, Irving. "Projective Modules." In Selected Papers and Other Writings. Springer New York, 1995. http://dx.doi.org/10.1007/978-1-4612-5352-5_16.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

Lombardi, Henri, and Claude Quitté. "Extended Projective Modules." In Algebra and Applications. Springer Netherlands, 2015. http://dx.doi.org/10.1007/978-94-017-9944-7_16.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Iacob, Alina. "Modules – projective, injective, and flat modules." In Gorenstein Homological Algebra. CRC Press, 2018. http://dx.doi.org/10.1201/9781315159676-2.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Carlson, Jon F. "Projective resolutions and cohomology." In Modules and Algebras. Birkhäuser Basel, 1996. http://dx.doi.org/10.1007/978-3-0348-9189-9_4.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Conference papers on the topic "Free and projective modules"

1

Hong, Changkee, and Kyle Renshaw. "Panoramic steering modules for optical wireless communications on small UAS." In Free-Space Laser Communications XXXVII, edited by Hamid Hemmati and Bryan S. Robinson. SPIE, 2025. https://doi.org/10.1117/12.3041388.

Full text
APA, Harvard, Vancouver, ISO, and other styles
2

Kotake, Hideaki, Hiroyuki Tsuji, and Morio Toyoshima. "Prototype development and evaluation of space-grade WDM-based HPA/LNA modules for small LEO satellite constellations." In Free-Space Laser Communications XXXVII, edited by Hamid Hemmati and Bryan S. Robinson. SPIE, 2025. https://doi.org/10.1117/12.3039893.

Full text
APA, Harvard, Vancouver, ISO, and other styles
3

Depiver, Joshua A., Sabuj Mallik, and Emeka H. Amalu. "Impact of Thermomechanical Fatigue and Creep on the Reliability of BGA Lead-Free Solder Joints in Electronic Modules." In 2024 IEEE 40th International Electronics Manufacturing Technology (IEMT). IEEE, 2024. https://doi.org/10.1109/iemt61324.2024.10875220.

Full text
APA, Harvard, Vancouver, ISO, and other styles
4

Kasparian, Azniv Kirkor. "Mac Williams Extension Theorem for Codes in Projective Modules over a Finite Frobenius Ring." In The 6th International Conference on Numerical Modelling in Engineering. Trans Tech Publications Ltd, 2024. http://dx.doi.org/10.4028/p-qfx9pf.

Full text
Abstract:
Let C be a right submodule of a free finite right module F over a finite Frobenius ring R. In order to facilitate the decoding of C, one can replace F by the minimal projective submodule P of F, containing C. Once R is Frobenius, P coincides with the injective envelope E(C) of C in F and can be constructed as the maximal essential extension of C in F. The work describes the injective envelope E(C) of an arbitrary module C over a residue ring Zm modulo a natural number m. Any choice of a basis of F is associated with an inner product on F and allows to describe the relations of C in F by its left orthogonal group (⊥C, +) &lt; (F, +). Bearing in mind that the relations (⊥P, +) of P = E(C) in F are contained in (⊥C, +), one realizes the relations of C in P by the quotient group (⊥C, +)/(⊥P, +). The decoding of C in P = E(C) makes use of a generating set of (⊥C, +)/(⊥P, +), which is obviously smaller than a generating set of (⊥C, +), needed for a decoding of C in F.The present note discusses also Mac Williams Extension Theorem for codes C in finite right projective modules P over a finite Frobenius ring R. It establishes that any Hamming isometry of C in P lifts to a monomial transformation g of a free cover F of P. Moreover, if the kernel of the epimorphism F onto P is invariant under g then the Hamming isometry of C in P extends to a Hamming isometry of P with itself.
APA, Harvard, Vancouver, ISO, and other styles
5

Thrun, Michael C., and Alfred Ultsch. "Swarm Intelligence for Self-Organized Clustering (Extended Abstract)." In Twenty-Ninth International Joint Conference on Artificial Intelligence and Seventeenth Pacific Rim International Conference on Artificial Intelligence {IJCAI-PRICAI-20}. International Joint Conferences on Artificial Intelligence Organization, 2020. http://dx.doi.org/10.24963/ijcai.2020/720.

Full text
Abstract:
The Databionic swarm (DBS) is a flexible and robust clustering framework that consists of three independent modules: swarm based projection, high-dimensional data visualization and representation guided clustering. The first module is the parameter-free projection method Pswarm, which exploits concepts of self-organization and emergence, game theory, and swarm intelligence. The second module is a parameter-free high-dimensional data visualization technique called topographic map. It uses the generalized U-matrix, which enables to estimate first, if any cluster tendency exists and second, the estimation of the number of clusters. The third module offers a clustering method which can be verified by the visualization and vice versa. Benchmarking w.r.t. conventional algorithms demonstrated that DBS can outperform them. Several applications showed that cluster structures provided by DBS are meaningful. Exemplary, a clustering of worldwide country-related data w.r.t the COVID-19 pandemic is presented here. Code and data is made available via open source.
APA, Harvard, Vancouver, ISO, and other styles
6

Wu, Xiao, Ting-Zhu Huang, Liang-Jian Deng, and Tian-Jing Zhang. "A Decoder-free Transformer-like Architecture for High-efficiency Single Image Deraining." In Thirty-First International Joint Conference on Artificial Intelligence {IJCAI-22}. International Joint Conferences on Artificial Intelligence Organization, 2022. http://dx.doi.org/10.24963/ijcai.2022/205.

Full text
Abstract:
Despite the success of vision Transformers for the image deraining task, they are limited by computation-heavy and slow runtime. In this work, we investigate Transformer decoder is not necessary and has huge computational costs. Therefore, we revisit the standard vision Transformer as well as its successful variants and propose a novel Decoder-Free Transformer-Like (DFTL) architecture for fast and accurate single image deraining. Specifically, we adopt a cheap linear projection to represent visual information with lower computational costs than previous linear projections. Then we replace standard Transformer decoder block with designed Progressive Patch Merging (PPM), which attains comparable performance and efficiency. DFTL could significantly alleviate the computation and GPU memory requirements through proposed modules. Extensive experiments demonstrate the superiority of DFTL compared with competitive Transformer architectures, e.g., ViT, DETR, IPT, Uformer, and Restormer. The code is available at https://github.com/XiaoXiao-Woo/derain.
APA, Harvard, Vancouver, ISO, and other styles
7

Xu, Chuan-yu. "Smooth Projective Modules." In 2009 International Conference on Measuring Technology and Mechatronics Automation. IEEE, 2009. http://dx.doi.org/10.1109/icmtma.2009.684.

Full text
APA, Harvard, Vancouver, ISO, and other styles
8

MAO, LIXIN, and NANQING DING. "NOTES ON FP-PROJECTIVE MODULES AND FP-INJECTIVE MODULES." In Proceedings of the 4th China-Japan-Korea International Conference. WORLD SCIENTIFIC, 2005. http://dx.doi.org/10.1142/9789812701671_0015.

Full text
APA, Harvard, Vancouver, ISO, and other styles
9

Zhanmin Zhu. "FCG-projective modules and some rings." In 2011 2nd International Conference on Artificial Intelligence, Management Science and Electronic Commerce (AIMSEC). IEEE, 2011. http://dx.doi.org/10.1109/aimsec.2011.6010401.

Full text
APA, Harvard, Vancouver, ISO, and other styles
10

Abed, Majid Mohammed, Faisal Al-Sharqi, and Saad H. Zail. "Injective modules, projective modules and their relationships to some rings." In The 5th Innovation and Analytics Conference & Exhibition (IACE 2021). AIP Publishing, 2022. http://dx.doi.org/10.1063/5.0093155.

Full text
APA, Harvard, Vancouver, ISO, and other styles

Reports on the topic "Free and projective modules"

1

Moreda, Fekadu, Benjamin Lord, Mauro Nalesso, Pedro Coli Valdes Daussa, and Juliana Corrales. Hydro-BID: New Functionalities (Reservoir, Sediment and Groundwater Simulation Modules). Inter-American Development Bank, 2016. http://dx.doi.org/10.18235/0009312.

Full text
Abstract:
The Inter-American Development Bank (IDB) provides financial and technicalsupport for infrastructure projects in water and sanitation, irrigation, flood control, transport, and energy, and for development projects in agriculture, urban systems, and natural resources. Many of these projects depend upon water resources and may be affected negatively by climate change and other developments that alter water availability, such as population growth and shifts in land use associated with urbanization, industrial growth, and agricultural practices. Assessing the potential for future changes in water availability is an important step toward ensuring that infrastructure and other development projects meet their operational, financial, and economic goals. It is also important to examine the implications of such projects for the future allocation of available water among competing users and uses to mitigate potential conflict and to ensure such projects are consistent with long-term regional development plans and preservation of essential ecosystem services. As part of its commitment to help member countries adapt to climate change, the IDB is sponsoring work to develop and apply the Regional Water Resources Simulation Model for Latin America and the Caribbean, an integrated suite of watershed modeling tools known as Hydro-BID. Hydro-BID is a highly scalable modeling system that includes hydrology and climate analysis modules to estimate the availability of surface water (stream flows) at the regional, basin, and sub-basin scales. The system includes modules for incorporating the effects of groundwater and reservoirs on surface water flows and for estimating sediment loading. Data produced by Hydro-BID are useful for water balance analysis, water allocation decisions, and economic analysis and decision support tools to help decision-makers make informed choices among alternative designs for infrastructure projects and alternative policies for water resources management. IDB sponsored the development of Hydro-BID and provides the software and basic training free of charge to authorized users; see hydrobidlac.org. The system was developed by RTI International as an adaptation of RTI's proprietary WaterFALL® modeling software, based on over 30 years of experience developing and using the U.S. National Hydrography Dataset (NHDPlus) in support to the U.S. Geological Survey and the U.S. Environmental Protection Agency. In Phase I of this effort, RTI prepared a working version of Hydro-BID that includes: (1) the Analytical Hydrography Dataset for Latin America and the Caribbean (LAC AHD), a digital representation of 229,300 catchments in Central America, South America, and the Caribbean with their corresponding topography, river, and stream segments; (2) a geographic information system (GIS)-based navigation tool to browse AHD catchments and streams with the capability of navigating upstream and downstream; (3) a user interface for specifying the area and period to be modeled and the period and location for which water availability will be simulated; (4) a climate data interface to obtain rainfall and temperature inputs for the area and period of interest; (5) a rainfall-runoff model based on the Generalized Watershed Loading Factor (GWLF) formulation; and (6) a routing scheme for quantifying time of travel and cumulative flow estimates across downstream catchments. Hydro-BID generates output in the form of daily time series of flow estimates for the selected location and period. The output can be summarized as a monthly time series at the user's discretion. In Phase II of this effort, RTI has prepared an updated version of Hydro-BID that includes (1) improvements to the user interface; (2) a module to simulate the effect of reservoirs on downstream flows; (3) a module to link Hydro-BID and groundwater models developed with MODFLOW and incorporate water exchanges between groundwater and surface water compartments into the simulation of sur
APA, Harvard, Vancouver, ISO, and other styles
You might also be interested in the extended bibliographies on the topic 'Free and projective modules' for particular source types:
Journal articles Dissertations / Theses Books
We offer discounts on all premium plans for authors whose works are included in thematic literature selections. Contact us to get a unique promo code!

To the bibliography