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Academic literature on the topic 'Monoid ring'

Author: Grafiati

Published: 4 June 2021

Last updated: 2 February 2022

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Journal articles on the topic "Monoid ring"

1

COJUHARI, E. P., and B. J. GARDNER. "GENERALIZED HIGHER DERIVATIONS." Bulletin of the Australian Mathematical Society 86, no. 2 (January 6, 2012): 266–81. http://dx.doi.org/10.1017/s000497271100308x.

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AbstractA type of generalized higher derivation consisting of a collection of self-mappings of a ring associated with a monoid, and here called a D-structure, is studied. Such structures were previously used to define various kinds of ‘skew’ or ‘twisted’ monoid rings. We show how certain gradings by monoids define D-structures. The monoid ring defined by such a structure corresponding to a group-grading is the variant of the group ring introduced by Năstăsescu, while in the case of a cyclic group of order two, the form of the D-structure itself yields some gradability criteria of Bakhturin and Parmenter. A partial description is obtained of the D-structures associated with infinite cyclic monoids.

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Alhevaz, Abdollah, Ebrahim Hashemi, and Michał Ziembowski. "Nilradicals of the unique product monoid rings." Journal of Algebra and Its Applications 16, no. 07 (July 7, 2016): 1750133. http://dx.doi.org/10.1142/s021949881750133x.

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Armendariz rings are generalization of reduced rings, and therefore, the set of nilpotent elements plays an important role in this class of rings. There are many examples of rings with nonzero nilpotent elements which are Armendariz. Observing structure of the set of all nilpotent elements in the class of Armendariz rings, Antoine introduced the notion of nil-Armendariz rings as a generalization, which are connected to the famous question of Amitsur of whether or not a polynomial ring over a nil coefficient ring is nil. Given an associative ring [Formula: see text] and a monoid [Formula: see text], we introduce and study a class of Armendariz-like rings defined by using the properties of upper and lower nilradicals of the monoid ring [Formula: see text]. The logical relationship between these and other significant classes of Armendariz-like rings are explicated with several examples. These new classes of rings provide the appropriate setting for obtaining results on radicals of the monoid rings of unique product monoids and also can be used to construct new classes of nil-Armendariz rings. We also classify, which of the standard nilpotence properties on polynomial rings pass to monoid rings. As a consequence, we extend and unify several known results.

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HABIBI, MOHAMMAD, and RAOUFEH MANAVIYAT. "A GENERALIZATION OF NIL-ARMENDARIZ RINGS." Journal of Algebra and Its Applications 12, no. 06 (May 9, 2013): 1350001. http://dx.doi.org/10.1142/s0219498813500011.

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Let R be a ring, M a monoid and ω : M → End (R) a monoid homomorphism. The skew monoid ring R * M is a common generalization of polynomial rings, skew polynomial rings, (skew) Laurent polynomial rings and monoid rings. In the current work, we study the nil skew M-Armendariz condition on R, a generalization of the standard nil-Armendariz condition from polynomials to skew monoid rings. We resolve the structure of nil skew M-Armendariz rings and obtain various necessary or sufficient conditions for a ring to be nil skew M-Armendariz, unifying and generalizing a number of known nil Armendariz-like conditions in the aforementioned special cases. We consider central idempotents which are invariant under a monoid endomorphism of nil skew M-Armendariz rings and classify how the nil skew M-Armendariz rings behaves under various ring extensions. We also provide rich classes of skew monoid rings which satisfy in a condition nil (R * M) = nil (R) * M. Moreover, we study on the relationship between the zip and weak zip properties of a ring R and those of the skew monoid ring R * M.

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Paykan, Kamal, and Ahmad Moussavi. "The McCoy condition on skew monoid rings." Asian-European Journal of Mathematics 10, no. 03 (September 2017): 1750050. http://dx.doi.org/10.1142/s1793557117500504.

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Let [Formula: see text] be an associative ring with identity, [Formula: see text] a monoid and [Formula: see text] a monoid homomorphism. When [Formula: see text] is a u.p.-monoid and [Formula: see text] is a reversible [Formula: see text]-compatible ring, then we observe that [Formula: see text] satisfies a McCoy-type property, in the context of skew monoid ring [Formula: see text]. We introduce and study the [Formula: see text]-McCoy condition on [Formula: see text], a generalization of the standard McCoy condition from polynomial rings to skew monoid rings. Several examples of reversible [Formula: see text]-compatible rings and also various examples of [Formula: see text]-McCoy rings are provided. As an application of [Formula: see text]-McCoy rings, we investigate the interplay between the ring-theoretical properties of a general skew monoid ring [Formula: see text] and the graph-theoretical properties of its zero-divisor graph [Formula: see text].

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HABIBI, M., and A. MOUSSAVI. "NILPOTENT ELEMENTS AND NIL-ARMENDARIZ PROPERTY OF MONOID RINGS." Journal of Algebra and Its Applications 11, no. 04 (July 31, 2012): 1250080. http://dx.doi.org/10.1142/s0219498812500806.

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Antoine [Nilpotent elements and Armendariz rings, J. Algebra 319(8) (2008) 3128–3140] studied the structure of the set of nilpotent elements in Armendariz rings and introduced nil-Armendariz rings. For a monoid M, we introduce nil-Armendariz rings relative to M, which is a generalization of nil-Armendariz rings and we investigate their properties. This condition is strongly connected to the question of whether or not a monoid ring R[M] over a nil ring R is nil, which is related to a question of Amitsur [Algebras over infinite fields, Proc. Amer. Math. Soc.7 (1956) 35–48]. This is true for any 2-primal ring R and u.p.-monoid M. If the set of nilpotent elements of a ring R forms an ideal, then R is nil-Armendariz relative to any u.p.-monoid M. Also, for any monoid M with an element of infinite order, M-Armendariz rings are nil M-Armendariz. When R is a 2-primal ring, then R[x] and R[x, x-1] are nil-Armendariz relative to any u.p.-monoid M, and we have nil (R[M]) = nil (R)[M].

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Dumitru, Mariana, Laura Năstăsescu, and Bogdan Toader. "Graded near-rings." Analele Universitatii "Ovidius" Constanta - Seria Matematica 24, no. 1 (January 1, 2016): 201–16. http://dx.doi.org/10.1515/auom-2016-0011.

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AbstractIn this paper, we consider graded near-rings over a monoid G as generalizations of graded rings over groups, and study some of their basic properties. We give some examples of graded near-rings having various interesting properties, and we define and study the Gop-graded ring associated to a G-graded abelian near-ring, where G is a left cancellative monoid and Gop is its opposite monoid. We also compute the graded ring associated to the graded near-ring of polynomials (over a commutative ring R) whose constant term is zero.

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Singh, Amit Bhooshan. "TRIANGULAR MATRIX REPRESENTATION OF SKEW GENERALIZED POWER SERIES RINGS." Asian-European Journal of Mathematics 05, no. 04 (December 2012): 1250027. http://dx.doi.org/10.1142/s1793557112500271.

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Let R be a ring, (S, ≤) a strictly ordered monoid and ω : S → End (R) a monoid homomorphism. In this paper, we study the triangular matrix representation of skew generalized power series ring R[[S, ω]] which is a compact generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomials rings, (skew) Laurent power series rings, (skew) group rings, (skew) monoid rings, Mal'cev–Neumann rings and generalized power series rings. We investigate that if R is S-compatible and (S, ω)-Armendariz, then the skew generalized power series ring has same triangulating dimension as R. Furthermore, if R is a PWP ring, then skew generalized power series is also PWP ring.

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ZHAO, RENYU. "LEFT APP-RINGS OF SKEW GENERALIZED POWER SERIES." Journal of Algebra and Its Applications 10, no. 05 (October 2011): 891–900. http://dx.doi.org/10.1142/s0219498811005014.

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A ring R is called a left APP-ring if the left annihilator lR(Ra) is right s-unital as an ideal of R for any a ∈ R. Let R be a ring, (S, ≤) be a commutative strictly ordered monoid and ω: S → End (R) be a monoid homomorphism. The skew generalized power series ring [[RS, ≤, ω]] is a common generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomial rings, (skew) group rings and Malcev–Neumann Laurent series rings. We study the left APP-property of the skew generalized power series ring [[RS, ≤, ω]]. It is shown that if (S, ≤) is a commutative strictly totally ordered monoid, ω: S→ Aut (R) a monoid homomorphism and R a ring satisfying the descending chain condition on right annihilators, then [[RS, ≤, ω]] is left APP if and only if for any S-indexed subset A of R, the ideal lR(∑a ∈ A ∑s ∈ S Rωs (a)) is right s-unital.

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Mazurek, Ryszard. "Rota–Baxter operators on skew generalized power series rings." Journal of Algebra and Its Applications 13, no. 07 (May 2, 2014): 1450048. http://dx.doi.org/10.1142/s0219498814500480.

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Let R be a ring, S a strictly ordered monoid, and ω : S → End (R) a monoid homomorphism. The skew generalized power series ring R[[S, ω]] is a common generalization of (skew) polynomial rings, (skew) Laurent polynomial rings, (skew) power series rings, (skew) Laurent series rings, (skew) monoid rings, (skew) Mal'cev–Neumann series rings, and generalized power series rings. We characterize those subsets T of S for which the cut-off operator with respect to T is a Rota–Baxter operator on the ring R[[S, ω]]. The obtained results provide a large class of noncommutative Rota–Baxter algebras.

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Sharma, R. K., and Amit B. Singh. "Unified Extensions of Strongly Reversible Rings and Links with Other Classic Ring Theoretic Properties." Journal of the Indian Mathematical Society 85, no. 3-4 (June 1, 2018): 434. http://dx.doi.org/10.18311/jims/2018/20986.

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Let R be a ring, (M, ≤) a strictly ordered monoid and ω : M → <em>End</em>(R) a monoid homomorphism. The skew generalized power series ring R[[M; ω]] is a compact generalization of (skew) polynomial rings, (skew) power series rings, (skew) Laurent polynomials rings, (skew) Laurent power series rings, (skew) group rings, (skew) monoid rings, Mal'cev Neumann rings and generalized power series rings. In this paper, we introduce concept of strongly (M, ω)-reversible ring (strongly reversible ring related to skew generalized power series ring R[[M, ω]]) which is a uni ed generalization of strongly reversible ring and study basic properties of strongly (M; ω)-reversible. The Nagata extension of strongly reversible is proved to be strongly reversible if R is Armendariz. Finally, it is proved that strongly reversible ring strictly lies between reduced and reversible ring in the expanded diagram given by Diesl et. al. [7].

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Dissertations / Theses on the topic "Monoid ring"

1

Kuber, Amit Shekhar. "K-theory of theories of modules and algebraic varieties." Thesis, University of Manchester, 2014. https://www.research.manchester.ac.uk/portal/en/theses/ktheory-of-theories-of-modules-and-algebraic-varieties(5d4387d5-df36-455a-a09d-922d67b0827e).html.

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Wilding, David. "Linear algebra over semirings." Thesis, University of Manchester, 2015. https://www.research.manchester.ac.uk/portal/en/theses/linear-algebra-over-semirings(1dfe7143-9341-4dd1-a0d1-ab976628442d).html.

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Motivated by results of linear algebra over fields, rings and tropical semirings, we present a systematic way to understand the behaviour of matrices with entries in an arbitrary semiring. We focus on three closely related problems concerning the row and column spaces of matrices. This allows us to isolate and extract common properties that hold for different reasons over different semirings, yet also lets us identify which features of linear algebra are specific to particular types of semiring. For instance, the row and column spaces of a matrix over a field are isomorphic to each others' duals, as well as to each other, but over a tropical semiring only the first of these properties holds in general (this in itself is a surprising fact). Instead of being isomorphic, the row space and column space of a tropical matrix are anti-isomorphic in a certain order-theoretic and algebraic sense. The first problem is to describe the kernels of the row and column spaces of a given matrix. These equivalence relations generalise the orthogonal complement of a set of vectors, and the nature of their equivalence classes is entirely dependent upon the kind of semiring in question. The second, Hahn-Banach type, problem is to decide which linear functionals on row and column spaces of matrices have a linear extension. If they all do, the underlying semiring is called exact, and in this case the row and column spaces of any matrix are isomorphic to each others' duals. The final problem is to explain the connection between the row space and column space of each matrix. Our notion of a conjugation on a semiring accounts for the different possibilities in a unified manner, as it guarantees the existence of bijections between row and column spaces and lets us focus on the peculiarities of those bijections. Our main original contribution is the systematic approach described above, but along the way we establish several new results about exactness of semirings. We give sufficient conditions for a subsemiring of an exact semiring to inherit exactness, and we apply these conditions to show that exactness transfers to finite group semirings. We also show that every Boolean ring is exact. This result is interesting because it allows us to construct a ring which is exact (also known as FP-injective) but not self-injective. Finally, we consider exactness for residuated lattices, showing that every involutive residuated lattice is exact. We end by showing that the residuated lattice of subsets of a finite monoid is exact if and only if the monoid is a group.

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Salt, Brittney M. "MONOID RINGS AND STRONGLY TWO-GENERATED IDEALS." CSUSB ScholarWorks, 2014. https://scholarworks.lib.csusb.edu/etd/31.

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This paper determines whether monoid rings with the two-generator property have the strong two-generator property. Dedekind domains have both the two-generator and strong two-generator properties. How common is this? Two cases are considered here: the zero-dimensional case and the one-dimensional case for monoid rings. Each case is looked at to determine if monoid rings that are not PIRs but are two-generated have the strong two-generator property. Full results are given in the zero-dimensional case, however only partial results have been found for the one-dimensional case.

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Slama, Franck. "Automatic generation of proof terms in dependently typed programming languages." Thesis, University of St Andrews, 2018. http://hdl.handle.net/10023/16451.

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Dependent type theories are a kind of mathematical foundations investigated both for the formalisation of mathematics and for reasoning about programs. They are implemented as the kernel of many proof assistants and programming languages with proofs (Coq, Agda, Idris, Dedukti, Matita, etc). Dependent types allow to encode elegantly and constructively the universal and existential quantifications of higher-order logics and are therefore adapted for writing logical propositions and proofs. However, their usage is not limited to the area of pure logic. Indeed, some recent work has shown that they can also be powerful for driving the construction of programs. Using more precise types not only helps to gain confidence about the program built, but it can also help its construction, giving rise to a new style of programming called Type-Driven Development. However, one difficulty with reasoning and programming with dependent types is that proof obligations arise naturally once programs become even moderately sized. For example, implementing an adder for binary numbers indexed over their natural number equivalents naturally leads to proof obligations for equalities of expressions over natural numbers. The need for these equality proofs comes, in intensional type theories (like CIC and ML) from the fact that in a non-empty context, the propositional equality allows us to prove as equal (with the induction principles) terms that are not judgementally equal, which implies that the typechecker can't always obtain equality proofs by reduction. As far as possible, we would like to solve such proof obligations automatically, and we absolutely need it if we want dependent types to be use more broadly, and perhaps one day to become the standard in functional programming. In this thesis, we show one way to automate these proofs by reflection in the dependently typed programming language Idris. However, the method that we follow is independent from the language being used, and this work could be reproduced in any dependently-typed language. We present an original type-safe reflection mechanism, where reflected terms are indexed by the original Idris expression that they represent, and show how it allows us to easily construct and manipulate proofs. We build a hierarchy of correct-by-construction tactics for proving equivalences in semi-groups, monoids, commutative monoids, groups, commutative groups, semi-rings and rings. We also show how each tactic reuses those from simpler structures, thus avoiding duplication of code and proofs. Finally, and as a conclusion, we discuss the trust we can have in such machine-checked proofs.

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Renshaw, James Henry. "Flatness, extension and amalgamation in monoids, semigroups and rings." Thesis, University of St Andrews, 1986. http://hdl.handle.net/10023/11071.

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We begin our study of amalgamations by examining some ideas which are well-known for the category of R-modules. In particular we look at such notions as direct limits, pushouts, pullbacks, tensor products and flatness in the category of S-sets. Chapter II introduces the important concept of free extensions and uses this to describe the amalgamated free product. In Chapter III we define the extension property and the notion of purity. We show that many of the important notions in semigroup amalgams are intimately connected to these. In Section 2 we deduce that 'the extension property implies amalgamation' and more surprisingly that a semigroup U is an amalgamation base if and only if it has the extension property in every containing semigroup. Chapter IV revisits the idea of flatness and after some technical results we prove a result, similar to one for rings, on flat amalgams. In Chapter V we show that the results of Hall and Howie on perfect amalgams can be proved using the same techniques as those used in Chapters III and IV. We conclude the thesis with a look at the case of rings. We show that almost all of the results for semi group amalgams examined in the previous chapters, also hold for ring amalgams.

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Curry, Patrick Mark. "Cell-mediated tumour immunity following photodynamic therapy with benzoporphyrin derivative monoacid ring A." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/ftp03/NQ27127.pdf.

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Meadows, Howard Earl. "Prevention of posterior capsule opacification by photodynamic therapy with localized benzoporphyrin derivative monoacid ring A (BPD-MA) in a rabbit surgical model." Thesis, University of British Columbia, 2008. http://hdl.handle.net/2429/4176.

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Posterior capsule opacification (PCO) is a major component of secondary cataract, a complication of current cataract surgery practice. This iatrogenic condition occurs in virtually all pediatric cases and to a lesser extent in adults. PCO correlates with the development in the latter half of the 20th Century of extracapsular cataract extraction (ECCE). In these surgeries, the lens capsule is left intact. During ECCE surgery a circular capsulotomy opening is created in the anterior lens capsule, and the cataractous, proteinaceous lens is removed, often via ultrasonic lens liquefaction i.e. phacoemulsification. The posterior, equatorial and remaining anterior portions of the sac-like capsule are left intact, permitting the insertion of an artificial lens into the emptied capsule. However, cells from the monolayer of epithelium on the inner surface of the capsule often begin to proliferate and migrate onto the normally cell-free inner surface of the posterior capsule, and may obscure the central axis of vision. Subsequently, a second surgery is necessary to create a small capsulotomy in the centre of the posterior capsule, usually employing an Nd:YAG laser. However, up to 5% of patients who have capsulotomies may then develop further serious, vision-threatening complications such as macular edema and retinal detachments. This thesis reports the photodynamic therapy (PDT) conditions required to prevent lens epithelial (LE) cell de novo proliferation and migration onto posterior lens capsules in a euthanized rabbit surgical model in order to predict parameters required to prevent PCO in humans. Experiments with primary in vitro cultures of human LE cells have shown rapid delivery of the photosensitizer benzoporphyrin derivative monoacid ring A (BPD-MA) and efficient killing with low light doses of 690 nm red light. Additional studies have shown the efficacy of various viscous agents in protecting the comeal endothelium. During model phacoemulsification ECCE surgeries, the use of hyaluronate viscoelastic carriers addressed the need for containment necessary for localized delivery of photosensitizer in the emptied capsule. Long-term monitoring of PDT-treated rabbit lens capsules in vitro has demonstrated a phototoxic effect including complete cell kill in this surgical model employing the prophylactic use of PDT.

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Mokriš, Samuel. "Problém realizace von Neumannovsky regulárních okruhů." Master's thesis, 2015. http://www.nusl.cz/ntk/nusl-347222.

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Title: The realization problem for von Neumann regular rings Author: Samuel Mokriš Department: Department of Algebra Supervisor of the master thesis: Mgr. Pavel Růžička, Ph.D., Department of Algebra Abstract: With every unital ring R, one can associate the abelian monoid V (R) of isomor- phism classes of finitely generated projective right R-modules. Said monoid is a conical monoid with order-unit. Moreover, for von Neumann regular rings, it satisfies the Riesz refinement property. In the thesis, we deal with the question, under what conditions an abelian conical re- finement monoid with order-unit can be realized as V (R) for some unital von Neumann regular ring or algebra, with emphasis on countable monoids. Two generalizations of the construction of V (R) to the context of nonunital rings are presented and their interrelation is analyzed. To that end, necessary properties of rings with local units and modules over such rings are devel- oped. Further, the construction of Leavitt path algebras over quivers is presented, as well as the construction of a monoid associated with a quiver that is isomorphic to V (R) of the Leavitt path algebra over the same quiver. These methods are then used to realize directed unions of finitely generated free abelian monoids as V (R) of algebras over any given field. A method...

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Koch, Robert. "Affine Monoids, Hilbert Bases and Hilbert Functions." Doctoral thesis, 2003. https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2003071115.

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The aim of this thesis is to introduce the reader to the theory of affine monoids and, thereby, to present some results. We therefore start with some auxiliary sections, containing general introductions to convex geometry, affine monoids and their algebras, Hilbert functions and Hilbert series. One central part of the thesis then is the description of an algorithm for computing the integral closure of an affine monoid. The algorithm has been implemented, in the computer program `normaliz´; it outputs the Hilbert basis and the Hilbert function of the integral closure (if the monoid is positive). Possible applications include: finding the lattice points in a lattice polytope, computing the integral closure of a monomial ideal and solving Diophantine systems of linear inequalities. The other main part takes up the notion of multigraded Hilbert function: we investigate the effect of the growth of the Hilbert function along arithmetic progressions (within the grading set) on global growth. This study is motivated by the case of a finitely generated module over a homogeneous ring: there, the Hilbert function grows with a degree which is well determined by the degree of the Hilbert polynomial (and the Krull dimension).

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Reinert, Birgit [Verfasser]. "On Gröbner bases in monoid and group rings / von Birgit Reinert." 1995. http://d-nb.info/956328431/34.

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Books on the topic "Monoid ring"

1

Separable algebroids. Providence, R.I., USA: American Mathematical Society, 1985.

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Schabhüser, Gerhard. Kürzungseigenschaften projektiver Moduln über Monoidringen. Münster: Drucktechnische Zentralstelle der Universität Münster, 1991.

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Conference on Hopf Algebras and Tensor Categories (2011 University of Almeria). Hopf algebras and tensor categories: International conference, July 4-8, 2011, University of Almería, Almería, Spain. Edited by Andruskiewitsch Nicolás 1958-, Cuadra Juan 1975-, and Torrecillas B. (Blas) 1958-. Providence, Rhode Island: American Mathematical Society, 2013.

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Tensor categories. Providence, Rhode Island: American Mathematical Society, 2015.

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Pantev, Tony. Stacks and catetories in geometry, topology, and algebra: CATS4 Conference Higher Categorical Structures and Their Interactions with Algebraic Geometry, Algebraic Topology and Algebra, July 2-7, 2012, CIRM, Luminy, France. Providence, Rhode Island: American Mathematical Society, 2015.

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Ülo, Lepik, ed. Ringid ja monoidid =: Kolʹt︠s︡a i monoidy. Tartu: Tartuskiĭ gos. universitet, 1987.

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Chapman, Scott T. Arithmetical Properties of Commutative Rings and Monoids. CRC, 2005.

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T, Chapman Scott, ed. Arithmetical properties of commutative rings and monoids. Boca Raton: Chapman & Hall/CRC, 2005.

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Iyer, Ramachandran V. Commutation monoids and logics of knowledge. 1988.

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Book chapters on the topic "Monoid ring"

1

Facchini, Alberto. "Monoids, Krull Monoids, Large Monoids." In Semilocal Categories and Modules with Semilocal Endomorphism Rings, 1–48. Cham: Springer International Publishing, 2019. http://dx.doi.org/10.1007/978-3-030-23284-9_1.

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Tuganbaev, Askar A. "Monoid rings and related topics." In Semidistributive Modules and Rings, 301–36. Dordrecht: Springer Netherlands, 1998. http://dx.doi.org/10.1007/978-94-011-5086-6_12.

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Steinberg, Benjamin. "6 The Grothendieck Ring." In Representation Theory of Finite Monoids, 95–102. Cham: Springer International Publishing, 2016. http://dx.doi.org/10.1007/978-3-319-43932-7_6.

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Bruns, Winfried, and Joseph Gubeladze. "Projective modules over monoid rings." In Springer Monographs in Mathematics, 287–325. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/b105283_8.

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Bruns, Winfried, and Joseph Gubeladze. "Bass–Whitehead groups of monoid rings." In Springer Monographs in Mathematics, 327–53. New York, NY: Springer New York, 2009. http://dx.doi.org/10.1007/b105283_9.

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Gotti, Felix. "Irreducibility and Factorizations in Monoid Rings." In Numerical Semigroups, 129–39. Cham: Springer International Publishing, 2020. http://dx.doi.org/10.1007/978-3-030-40822-0_9.

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Okniński, Jan. "Commutative monoid rings with krull dimension." In Lecture Notes in Mathematics, 251–59. Berlin, Heidelberg: Springer Berlin Heidelberg, 1988. http://dx.doi.org/10.1007/bfb0083438.

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Geroldinger, Alfred, Wolfgang A. Schmid, and Qinghai Zhong. "Systems of Sets of Lengths: Transfer Krull Monoids Versus Weakly Krull Monoids." In Rings, Polynomials, and Modules, 191–235. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-65874-2_11.

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McCulloh, Leon R. "Stickelberger ideals, monoid rings, and galois module structure." In Orders and their Applications, 190–204. Berlin, Heidelberg: Springer Berlin Heidelberg, 1985. http://dx.doi.org/10.1007/bfb0074801.

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Wehrung, Friedrich. "Constructions Involving Involutary Semirings and Rings." In Refinement Monoids, Equidecomposability Types, and Boolean Inverse Semigroups, 185–219. Cham: Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-61599-8_6.

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Conference papers on the topic "Monoid ring"

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Enomoto, H. "The Jordan-Hölder property, Grothendieck monoids and Bruhat inversions." In The Eighth China–Japan–Korea International Symposium on Ring Theory. WORLD SCIENTIFIC, 2021. http://dx.doi.org/10.1142/9789811230295_0006.

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Andrade, Antonio, and Tariq Shah. "Ascending chain of monoid rings and encoding." In XXIX Simpósio Brasileiro de Telecomunicações. Sociedade Brasileira de Telecomunicações, 2011. http://dx.doi.org/10.14209/sbrt.2011.5.

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FACCHINI, ALBERTO. "KRULL MONOIDS AND THEIR APPLICATION IN MODULE THEORY." In Proceedings of the International Conference on Algebras, Modules and Rings. WORLD SCIENTIFIC, 2006. http://dx.doi.org/10.1142/9789812774552_0006.

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Madlener, Klaus, and Birgit Reinert. "Computing Gröbner bases in monoid and group rings." In the 1993 international symposium. New York, New York, USA: ACM Press, 1993. http://dx.doi.org/10.1145/164081.164139.

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Tomanik, Eduardo, and Andre Ferrarese. "Low Friction Ring Pack for Gasoline Engines." In ASME 2006 Internal Combustion Engine Division Fall Technical Conference. ASMEDC, 2006. http://dx.doi.org/10.1115/icef2006-1566.

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Lower emissions, reduced friction and low lubricant oil consumption are the main drivers for new gasoline engines. In terms of piston ring pack, the trend is to reduce ring tangential load and width. On the other hand, the main concern is to have proper ring conformability and lube oil control. This work presents the comparison of a baseline ring pack with a low friction pack in terms of friction, blow-by control and lube oil consumption. Besides ring width and tangential load reductions, evaluations of ring materials are also carried out. Narrow compression rings, 1.0 and 0.8 mm, were engine tested. PVD top ring was also tested and showed about 10% friction reduction compared to the usual Gas Nitrided one. 3-piece 1.5 mm oil rings were compared with the usual 2.0 mm ones. Being more flexible, the narrower oil rings can have same conformability with reduced tangential load. Friction was measured in the mono-cylinder SI Floating Liner engine at 5 operational conditions. Effect of cylinder roughness on friction is discussed by reciprocating bench tests. Compared with a typical 1.2/1.2/2.0 mm SI ring pack, the proposed 1.0/1.0/1.5 mm pack brought about 28% reduction in ring friction in the tested conditions, which would mean in about 1% of fuel savings in urban use.

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Reinert, Birgit. "Solving systems of linear one-sided equations in integer monoid and group rings." In the 2000 international symposium. New York, New York, USA: ACM Press, 2000. http://dx.doi.org/10.1145/345542.345653.

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Levy, Julia G., Elizabeth Waterfield, Anna M. Richter, Claire Smits, Harvey Lui, Luciann Hruza, R. Rox Anderson, and Vincent Salvatori. "Photodynamic therapy of malignancies with benzoporphyrin derivative monoacid ring A." In Europto Biomedical Optics '93, edited by Giulio Jori, Johan Moan, and Willem M. Star. SPIE, 1994. http://dx.doi.org/10.1117/12.168659.

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Hunt, David W. C., Diane E. King, and Julia G. Levy. "Influence of benzoporphyrin-derivative monoacid ring A (BPD-MA, verteporfin) on murine dendritic cells." In BiOS '97, Part of Photonics West, edited by Thomas J. Dougherty. SPIE, 1997. http://dx.doi.org/10.1117/12.273495.

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Yue Zhang, Weiwei Liao, Qingfeng Zhang, and Yifan Chen. "Ring-circled mono-cone antenna for wireless body area network applications." In 2016 IEEE International Conference on Computational Electromagnetics (ICCEM). IEEE, 2016. http://dx.doi.org/10.1109/compem.2016.7588683.

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Keum, Kyoseung, and Jaehoon Choi. "An Electrically Small Top-Loaded Mono-Cone Antenna with Ring Slot." In 2020 International Symposium on Antennas and Propagation (ISAP). IEEE, 2021. http://dx.doi.org/10.23919/isap47053.2021.9391470.

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