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Relevant bibliographies by topics / Algebra - General

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Academic literature on the topic 'Algebra - General'

Author: Grafiati

Published: 4 June 2021

Last updated: 1 August 2024

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Journal articles on the topic "Algebra - General"

1

Kassem, M. S., and K. Rowlands. "Double multipliers andA*-algebras of the first kind." Mathematical Proceedings of the Cambridge Philosophical Society 102, no. 3 (1987): 507–16. http://dx.doi.org/10.1017/s0305004100067554.

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LetAbe anA*-algebra and letdenote its auxiliary norm closure. The multiplier algebras of dualA*-algebras of the first kind have been studed by Tomiuk [12], [13] and Wong[15]. In this paper we study the double multiplier algebra ofA*-algebras of the first kind. In particular, we prove that, ifAis anA*-algebra of the first kind, then the double multiplier algebraM(A) ofAis *-isomorphic and (auxiliary norm) isometric to a subalgebra ofM(), extending in the process some results established by Tomiuk[12]. We also consider the embedding of the double multiplier algebra ofAin**, when the latter is re

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Nahlus, Nazih. "Lie Algebras of Pro-Affine Algebraic Groups." Canadian Journal of Mathematics 54, no. 3 (2002): 595–607. http://dx.doi.org/10.4153/cjm-2002-021-9.

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AbstractWe extend the basic theory of Lie algebras of affine algebraic groups to the case of pro-affine algebraic groups over an algebraically closed fieldKof characteristic 0. However, some modifications are needed in some extensions. So we introduce the pro-discrete topology on the Lie algebra ℒ(G) of the pro-affine algebraic groupGoverK, which is discrete in the finite-dimensional case and linearly compact in general. As an example, ifLis any sub Lie algebra of ℒ(G), we show that the closure of [L,L] in ℒ(G) is algebraic in ℒ(G).We also discuss the Hopf algebra of representative functions H

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LI, HAISHENG. "VERTEX ALGEBRAS AND VERTEX POISSON ALGEBRAS." Communications in Contemporary Mathematics 06, no. 01 (2004): 61–110. http://dx.doi.org/10.1142/s0219199704001264.

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This paper studies certain relations among vertex algebras, vertex Lie algebras and vertex Poisson algebras. In this paper, the notions of vertex Lie algebra (conformal algebra) and vertex Poisson algebra are revisited and certain general construction theorems of vertex Poisson algebras are given. A notion of filtered vertex algebra is formulated in terms of a notion of good filtration and it is proved that the associated graded vector space of a filtered vertex algebra is naturally a vertex Poisson algebra. For any vertex algebra V, a general construction and a classification of good filtrati

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Padhan, Rudra Narayan, and K. C. Pati. "Some studies on central derivation of nilpotent Lie superalgebra." Asian-European Journal of Mathematics 13, no. 04 (2018): 2050068. http://dx.doi.org/10.1142/s1793557120500680.

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Many theorems and formulas of Lie superalgebras run quite parallel to Lie algebras, sometimes giving interesting results. So it is quite natural to extend the new concepts of Lie algebra immediately to Lie superalgebra case as the later type of algebras have wide applications in physics and related theories. Using the concept of isoclinism, Saeedi and Sheikh-Mohseni [A characterization of stem algebras in terms of central derivations, Algebr. Represent. Theory 20 (2017) 1143–1150; On [Formula: see text]-derivations of Filippov algebra, to appear in Asian-Eur. J. Math.; S. Sheikh-Mohseni, F. Sa

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Neeb, Karl-Hermann, and Friedrich Wagemann. "The Second Cohomology of Current Algebras of General Lie Algebras." Canadian Journal of Mathematics 60, no. 4 (2008): 892–922. http://dx.doi.org/10.4153/cjm-2008-038-6.

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AbstractLet A be a unital commutative associative algebra over a field of characteristic zero, a Lie algebra, and a vector space, considered as a trivial module of the Lie algebra . In this paper, we give a description of the cohomology space in terms of easily accessible data associated with A and . We also discuss the topological situation, where A and are locally convex algebras.

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Grewcoe, Clay James, Larisa Jonke, Toni Kodžoman, and George Manolakos. "From Hopf Algebra to Braided L∞-Algebra." Universe 8, no. 4 (2022): 222. http://dx.doi.org/10.3390/universe8040222.

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We show that an L∞-algebra can be extended to a graded Hopf algebra with a codifferential. Then, we twist this extended L∞-algebra with a Drinfel’d twist, simultaneously twisting its modules. Taking the L∞-algebra as its own (Hopf) module, we obtain the recently proposed braided L∞-algebra. The Hopf algebra morphisms are identified with the strict L∞-morphisms, whereas the braided L∞-morphisms define a more general L∞-action of twisted L∞-algebras.

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MARTIN, MIRCEA. "ALGEBRA ENVIRONMENTS I." Revue Roumaine Mathematiques Pures Appliquees LXIX, no. 1 (2024): 17–60. http://dx.doi.org/10.59277/rrmpa.2024.17.60.

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Algebra environments capture properties of non–commutative conditional expectations in a general algebraic setting. Their study relies on algebraic geometry, topology, and differential geometry techniques. The structure algebraic and Banach manifolds of algebra environments and their Zariski and smooth tangent vector bundles are particular objects of interest. A description of derivations on algebra environments compatible with geometric structures is an additional issue. Grassmann and flag manifolds of unital involutive algebras and spaces of projective compact group representations in C∗–alg

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Feeman, Timothy G. "The Bourgain algebra of a nest algebra." Proceedings of the Edinburgh Mathematical Society 40, no. 1 (1997): 151–66. http://dx.doi.org/10.1017/s0013091500023518.

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In analogy with a construction from function theory, we herein define right, left, and two-sided Bourgain algebras associated with an operator algebra A. These algebras are defined initially in Banach space terms, using the weak-* topology on A, and our main result is to give a completely algebraic characterization of them in the case where A is a nest algebra. Specifically, if A = alg N is a nest algebra, we show that each of the Bourgain algebras defined has the form A + K ∩ B, where B is the nest algebra corresponding to a certain subnest of N. We also characterize algebraically the second-

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BOKUT, L. A., YUQUN CHEN, and QIUHUI MO. "GRÖBNER–SHIRSHOV BASES AND EMBEDDINGS OF ALGEBRAS." International Journal of Algebra and Computation 20, no. 07 (2010): 875–900. http://dx.doi.org/10.1142/s0218196710005923.

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In this paper, by using Gröbner–Shirshov bases, we show that in the following classes, each (respectively, countably generated) algebra can be embedded into a simple (respectively, two-generated) algebra: associative differential algebras, associative Ω-algebras, associative λ-differential algebras. We show that in the following classes, each countably generated algebra over a countable field k can be embedded into a simple two-generated algebra: associative algebras, semigroups, Lie algebras, associative differential algebras, associative Ω-algebras, associative λ-differential algebras. We gi

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Kurniadi, Edi, Kankan Parmikanti, and Badrulfalah Badrulfalah. "Classification of types A and A_+ from low dimensional standard and non-standard filiform Lie Algebras." Journal of Natural Sciences and Mathematics Research 9, no. 2 (2023): 102–8. http://dx.doi.org/10.21580/jnsmr.2023.9.2.18083.

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In this paper, we study low-dimensional Filiform Lie algebras. Specifically, three-dimensional standard Filiform Lie algebras and five-dimensional non-standard Filiform Lie algebras. The classification method was given in the following stage. For given a low-dimensional Filiform Lie algebra, we compute its second centre. We showed that three-dimensional Filiform Lie algebra-called Heisenberg Lie algebra-is type 𝐴 and 𝐴+ as well. On the other hand, for 𝑛≥3, the standard Filiform Lie algebras are type 𝐴 but not type 𝐴+. In this case, we give a concrete example of case five-dimensional Heisenberg

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Dissertations / Theses on the topic "Algebra - General"

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Delíc, Dejan. "Some problems in general algebra." Thesis, National Library of Canada = Bibliothèque nationale du Canada, 1998. http://www.collectionscanada.ca/obj/s4/f2/dsk2/tape15/PQDD_0014/NQ32822.pdf.

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Del??c, Dejan. "Some problems in general algebra." Thesis, National Library of Canada = Biblioth??que nationale du Canada, 1998. http://hdl.handle.net/10012/303.

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Piper, Matthew Sebastian. "Power series and computer algebra in general relativity." Thesis, Queen Mary, University of London, 1997. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.264988.

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Joly, Gordon Charles. "Applications of computer algebra systems to general relativity theory." Thesis, Queen Mary, University of London, 1986. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.284039.

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Ramsey, Frederick V. "A general algebra of business rules for heterogeneous systems." Thesis, De Montfort University, 2007. http://hdl.handle.net/2086/13258.

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Danylenko, Antonina. "Decision Algebra: A General Approach to Learning and Using Classifiers." Doctoral thesis, Linnéuniversitetet, Institutionen för datavetenskap (DV), 2015. http://urn.kb.se/resolve?urn=urn:nbn:se:lnu:diva-43238.

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Processing decision information is a vital part of Computer Science fields in which pattern recognition problems arise. Decision information can be generalized as alternative decisions (or classes), attributes and attribute values, which are the basis for classification. Different classification approaches exist, such as decision trees, decision tables and Naïve Bayesian classifiers, which capture and manipulate decision information in order to construct a specific decision model (or classifier). These approaches are often tightly coupled to learning strategies, special data structures and the

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Lemay, Joel. "Geometric Realizations of the Basic Representation of the Affine General Linear Lie Algebra." Thesis, Université d'Ottawa / University of Ottawa, 2015. http://hdl.handle.net/10393/32866.

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The realizations of the basic representation of the affine general linear Lie algebra on (r x r) matrices are well-known to be parametrized by partitions of r and have an explicit description in terms of vertex operators on the bosonic/fermionic Fock space. In this thesis, we give a geometric interpretation of these realizations in terms of geometric operators acting on the equivariant cohomology of certain Nakajima quiver varieties.

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Kaiser, Tim Benjamin. "From data tables to general geometric structures." Aachen Shaker, 2008. http://d-nb.info/992124212/04.

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Liu, Wille. "Double affine Hecke algebra of general parameters : perverse sheaves and Knizhnik--Zamolodchikov functor." Thesis, Université de Paris (2019-....), 2020. http://www.theses.fr/2020UNIP7144.

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Le présent travail de thèse porte sur l'étude de la catégorie O des algèbres de Hecke doublement affines dégénérées (dDAHA) au point de vue de la théorie de Springer et celle des faisceaux pervers. Dans les premiers deux chapitres nous étudions de manière algébrique les dDAHA et leurs généralisations, algèbres de Hecke doubles carquois (QDHA). Nous introduisons le foncteur de Knizhnik--Zamolodchikov (KZ) pour les QDHA et démontrons qu'ils vérifient la propriété bicommutante dans chapitre 2. Les chapitres 3 et 4 sont consacrés à l'étude des faisceaux pervers sur les algèbres de Lie munies de gr

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Mateycik, Frances Ann. "Facilitating case reuse during problem solving in algebra-based physics." Diss., Manhattan, Kan. : Kansas State University, 2010. http://hdl.handle.net/2097/4189.

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Books on the topic "Algebra - General"

1

Palmer, Theodore W. Banach algebras and the general theory of *-algebras. Cambridge University Press, 1994.

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Palmer, Theodore W. Banach algebras and the general theory of *-algebras. Cambridge University Press, 2001.

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Klaus, Denecke, Vogel Hans-Jürgen 1935-, and Arbeitstagung Allgemeine Algebra (43rd : 1992 : Potsdam, Germany), eds. General algebra and applications. Heldermann Verlag, 1993.

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Körner, T. W. Vectors, pure and applied: A general introduction to linear algebra. Cambridge University Press, 2013.

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Jiří, Rosický, and Vitale E. M, eds. Algebraic theories: A categorical introduction to general algebra. Cambridge University Press, 2010.

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Leslie, Hogben, ed. Handbook of linear algebra. Chapman & Hall/CRC, 2007.

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Aglianò, Paolo. Logic and algebra. Marcel Dekker, 1996.

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Potsdam), Conference on General Algebra and Discrete Mathematics (1996 University of. General algebra and applications in discrete mathematics: Proceedings of "Conference on General Algebra and Discrete Mathematics". Shaker, 1997.

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McCune, Sandra K. Algebra. Barron's Educational Series, 1997.

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Steffensen, Arnold R. Introductory algebra. 4th ed. HarperCollins, 1991.

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Book chapters on the topic "Algebra - General"

1

Lang, Serge. "General Homology Theory." In Algebra. Springer New York, 2002. http://dx.doi.org/10.1007/978-1-4613-0041-0_20.

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Heer, Burkhard, and Alfred Maußner. "Linear Algebra." In Dynamic General Equilibrium Modeling. Springer International Publishing, 2024. http://dx.doi.org/10.1007/978-3-031-51681-8_12.

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Lal, Ramji. "General Linear Algebra." In Algebra 2. Springer Singapore, 2017. http://dx.doi.org/10.1007/978-981-10-4256-0_7.

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Guttmann, Walter. "General Correctness Algebra." In Relations and Kleene Algebra in Computer Science. Springer Berlin Heidelberg, 2009. http://dx.doi.org/10.1007/978-3-642-04639-1_11.

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van der Waerden, B. L. "General Ideal Theory of Commutative Rings." In Algebra. Springer New York, 1991. http://dx.doi.org/10.1007/978-1-4684-9999-5_4.

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Grätzer, George. "Appendix 1. General Survey." In Universal Algebra. Springer New York, 2008. http://dx.doi.org/10.1007/978-0-387-77487-9_10.

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Stillwell, John. "Numbers in General." In Elements of Algebra. Springer New York, 1994. http://dx.doi.org/10.1007/978-1-4757-3976-3_3.

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Farin, Gerald, and Dianne Hansford. "General Linear Spaces." In Practical Linear Algebra, 4th ed. Chapman and Hall/CRC, 2021. http://dx.doi.org/10.1201/9781003051213-14.

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Menger, Karl. "General Algebra of Analysis." In Selecta Mathematica. Springer Vienna, 2003. http://dx.doi.org/10.1007/978-3-7091-6045-9_21.

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Bonnafé, Cédric. "Submaximal Cells (General Case)." In Algebra and Applications. Springer International Publishing, 2017. http://dx.doi.org/10.1007/978-3-319-70736-5_13.

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Conference papers on the topic "Algebra - General"

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MARTÍN-GARCÍA, JOSÉ M. "TENSOR COMPUTER ALGEBRA." In Proceedings of the MG11 Meeting on General Relativity. World Scientific Publishing Company, 2008. http://dx.doi.org/10.1142/9789812834300_0193.

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Dutta, T. K., and S. Mandal. "A General Type of Regularity and Semiprime Ideals in Ternary Semiring." In The International Conference on Algebra 2010 - Advances in Algebraic Structures. WORLD SCIENTIFIC, 2011. http://dx.doi.org/10.1142/9789814366311_0014.

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Meltzer, David E. "Nontraditional approach to algebra-based general physics." In The changing role of physics departments in modern universities. AIP, 1997. http://dx.doi.org/10.1063/1.53183.

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GŁAZEK, KAZIMIERZ. "GENERAL NOTIONS OF INDEPENDENCE." In Proceedings of the ICM Satellite Conference in Algebra and Related Topics. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812705808_0008.

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Mourrain, Bernard, and Philippe Trébuchet. "Border basis representation of a general quotient algebra." In the 37th International Symposium. ACM Press, 2012. http://dx.doi.org/10.1145/2442829.2442868.

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Yang, Wenzhong, Cuanhe Huang, Bo Wang, Tong Wang, and Zhenyu Zhang. "A General Trust Model Based on Trust Algebra." In 2009 International Conference on Multimedia Information Networking and Security. IEEE, 2009. http://dx.doi.org/10.1109/mines.2009.226.

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Cvitan, Maro, and Ivica Smolic. "Hawking radiation, anomalies and W-infinity algebra." In Black Holes in General Relativity and String Theory. Sissa Medialab, 2009. http://dx.doi.org/10.22323/1.075.0005.

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ITO, YUKARI. "THE MCKAY CORRESPONDENCE – A BRIDGE FROM ALGEBRA TO GEOMETRY." In Proceedings of the Tenth General Meeting. WORLD SCIENTIFIC, 2003. http://dx.doi.org/10.1142/9789812704276_0007.

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Ishak, Mustapha, Peter Musgrave, John Mourra, Jonathan Stern, and Kayll Lake. "GRLite and GRTensorJ: Graphical user interfaces to the computer algebra system GRTensorII." In GENERAL RELATIVITY AND RELATIVISTIC ASTROPHYSICS. ASCE, 1999. http://dx.doi.org/10.1063/1.1301604.

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Miller, Scott M. "Kinematics of Meshing Surfaces Using Geometric Algebra." In ASME 2003 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference. ASMEDC, 2003. http://dx.doi.org/10.1115/detc2003/ptg-48086.

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As is well known, analysis of two surfaces in mesh plays a fundamental role in gear theory. In the past, special coordinate systems, vector algebra, or screw theory was used to analyze the kinematics of meshing. The approach here instead relies on geometric algebra, an extension of conventional vector algebra. The elegance of geometric algebra for theoretical developments is demonstrated by examining the so-called “equation of meshing,” which requires that the relative velocity of two bodies at a point of contact be perpendicular to the common surface normal vector. With surprisingly little ef

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Reports on the topic "Algebra - General"

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HERRERA, J. THE ALGEBRA OF TAYLOR SERIES AND THE ROOTS OF A GENERAL POLYNOMIAL. Office of Scientific and Technical Information (OSTI), 2002. http://dx.doi.org/10.2172/804616.

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Baader, Franz. Concept Descriptions with Set Constraints and Cardinality Constraints. Technische Universität Dresden, 2017. http://dx.doi.org/10.25368/2022.232.

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We introduce a new description logic that extends the well-known logic ALCQ by allowing the statement of constraints on role successors that are more general than the qualified number restrictions of ALCQ. To formulate these constraints, we use the quantifier-free fragment of Boolean Algebra with Presburger Arithmetic (QFBAPA), in which one can express Boolean combinations of set constraints and numerical constraints on the cardinalities of sets. Though our new logic is considerably more expressive than ALCQ, we are able to show that the complexity of reasoning in it is the same as in ALCQ, bo

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Rabier, Patrick J., and Werner C. Rheinboldt. A General Existence and Uniqueness Theorem for Implicit Differential- Algebraic Equations. Defense Technical Information Center, 1990. http://dx.doi.org/10.21236/ada217965.

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Volikova, Maryna M., Tetiana S. Armash, Yuliia V. Yechkalo, and Vladimir I. Zaselskiy. Practical use of cloud services for organization of future specialists professional training. [б. в.], 2019. http://dx.doi.org/10.31812/123456789/3269.

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The article is devoted to the peculiarities of the practical use of cloud services for the organization of qualitative professional training of future specialists. It is established that in order to implement state policy, there is an essential need for using various ICT, in particular cloud services, which are not only economically acceptable in the new educational environment, but also a powerful tools of obtaining new knowledge, skills and abilities. The advantages and disadvantages of using cloud services in the educational process of higher education are substantiated; the examples discus

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Hessini, Leila. Living on a Fault Line: Political Violence Against Women in Algeria. Population Council, 1996. http://dx.doi.org/10.31899/pgy1996.1005.

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This study raises three questions to better comprehend the crisis women face in Algeria today: how are the state and the opposition groups addressing and defining women’s contemporary status, what is the link between women’s status and violence against them, and what are the tactics both of resistance and accommodation that Algerian women are using to survive in such a context? Throughout this study, the term “Islamic Fundamentalists” refers to movements and people in Algeria who use the “recovery” of early principles of the Ideal Muslim Community to develop their idea of a future Islamic “soc

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van der Mensbrugghe, Dominique. The Standard GTAP Model in GAMS, Version 7.1. GTAP Working Paper, 2023. http://dx.doi.org/10.21642/gtap.wp92.

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The purpose of this document is to describe a version of the Global Trade Analysis Project (GTAP) computable general equilibrium (CGE) model implemented in the General Algebraic Modeling System (GAMS) that is a literal implementation of the standard General Economic Modeling Package (GEMPACK) version. It updates and supersedes the model description provided in van der Mensbrugghe (2018), which remains the main reference. The key revision of the new version is that the model is calibrated to initially normalized variables, similar to Rutherford’s GTAPinGams model (Lanz and Rutherford (2016)). O

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Baader, Franz, Silvio Ghilardi, and Cesare Tinelli. A New Combination Procedure for the Word Problem that Generalizes Fusion Decidability Results in Modal Logics. Technische Universität Dresden, 2003. http://dx.doi.org/10.25368/2022.130.

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Previous results for combining decision procedures for the word problem in the non-disjoint case do not apply to equational theories induced by modal logics - which are not disjoint for sharing the theory of Boolean algebras. Conversely, decidability results for the fusion of modal logics are strongly tailored towards the special theories at hand, and thus do not generalize to other types of equational theories. In this paper, we present a new approach for combining decision procedures for the word problem in the non-disjoint case that applies to equational theories induced by modal logics, bu

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Sparrow, Kent, and Sandra LeGrand. Establishing a series of dust event case studies for North Africa. Engineer Research and Development Center (U.S.), 2023. http://dx.doi.org/10.21079/11681/46445.

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Dust aerosols often create hazardous air quality conditions that affect human health, visibility, agriculture, and communication in various parts of the world. While substantial progress has been made in dust-event simulation and hazard mitigation over the last several decades, accurately forecasting the spatial and temporal variability of dust emissions continues to be a challenge. This report documents an analysis of atmospheric conditions for a series of dust events in North Africa. The researchers highlight four analyzed events that occurred between January 2016 to present in the following

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Bach, Christian Friis, and Ken Pearson. Implementing Quotas in GTAP Using GEMPACK or How to Linearize an Inequality. GTAP Technical Paper, 2000. http://dx.doi.org/10.21642/gtap.tp04.

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The methods described in the paper below have been automated as part of Release 8.0 of GEMPACK. This new version of GEMPACK (which is being beta tested by several modellers now and will be officially released later in 2002) makes it very easy to implement quotas (including import/export quotas and tariff rate quotas). This means that many of the implementation details in the technical paper below are no longer required. To implement quotas etc in GEMPACK, please follow the methodology documented in chapter 16 of GEMPACK User documentation GPD-3, which you can find at http://www.copsmodels.com/

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African Open Science Platform Part 1: Landscape Study. Academy of Science of South Africa (ASSAf), 2019. http://dx.doi.org/10.17159/assaf.2019/0047.

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This report maps the African landscape of Open Science – with a focus on Open Data as a sub-set of Open Science. Data to inform the landscape study were collected through a variety of methods, including surveys, desk research, engagement with a community of practice, networking with stakeholders, participation in conferences, case study presentations, and workshops hosted. Although the majority of African countries (35 of 54) demonstrates commitment to science through its investment in research and development (R&D), academies of science, ministries of science and technology, policies, rec

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