Monomial Algebras

Author : Rafael Villarreal
Publisher : CRC Press
ISBN 13 : 148223470X
Total Pages : 704 pages
Book Rating : 4.01/5 ( download)

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Download or read book Monomial Algebras written by Rafael Villarreal and published by CRC Press. This book was released on 2018-10-08 with total page 704 pages. Available in PDF, EPUB and Kindle. Book excerpt: Monomial Algebras, Second Edition presents algebraic, combinatorial, and computational methods for studying monomial algebras and their ideals, including Stanley–Reisner rings, monomial subrings, Ehrhart rings, and blowup algebras. It emphasizes square-free monomials and the corresponding graphs, clutters, or hypergraphs. New to the Second Edition Four new chapters that focus on the algebraic properties of blowup algebras in combinatorial optimization problems of clutters and hypergraphs Two new chapters that explore the algebraic and combinatorial properties of the edge ideal of clutters and hypergraphs Full revisions of existing chapters to provide an up-to-date account of the subject Bringing together several areas of pure and applied mathematics, this book shows how monomial algebras are related to polyhedral geometry, combinatorial optimization, and combinatorics of hypergraphs. It directly links the algebraic properties of monomial algebras to combinatorial structures (such as simplicial complexes, posets, digraphs, graphs, and clutters) and linear optimization problems.

Author : Onofrio Mario Di Vincenzo
Publisher : Springer Nature
ISBN 13 : 3030631117
Total Pages : 421 pages
Book Rating : 4.16/5 ( download)

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Download or read book Polynomial Identities in Algebras written by Onofrio Mario Di Vincenzo and published by Springer Nature. This book was released on 2021-03-22 with total page 421 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the talks given at the INDAM workshop entitled "Polynomial identites in algebras", held in Rome in September 2019. The purpose of the book is to present the current state of the art in the theory of PI-algebras. The review of the classical results in the last few years has pointed out new perspectives for the development of the theory. In particular, the contributions emphasize on the computational and combinatorial aspects of the theory, its connection with invariant theory, representation theory, growth problems. It is addressed to researchers in the field.

Author : Rastislav Královic
Publisher : Springer
ISBN 13 : 3642038166
Total Pages : 773 pages
Book Rating : 4.67/5 ( download)

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Download or read book Mathematical Foundations of Computer Science 2009 written by Rastislav Královic and published by Springer. This book was released on 2009-08-19 with total page 773 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the refereed proceedings of the 34th International Symposium on Mathematical Foundations of Computer Science, MFCS 2009, held in Novy Smokovec, High Tatras, Slovakia, in August 2009. The 56 revised full papers presented together with 7 invited lectures were carefully reviewed and selected from 148 submissions. All current aspects in theoretical computer science and its mathematical foundations are addressed, including algorithmic game theory, algorithmic tearning theory, algorithms and data structures, automata, grammars and formal languages, bioinformatics, complexity, computational geometry, computer-assisted reasoning, concurrency theory, cryptography and security, databases and knowledge-based systems, formal specifications and program development, foundations of computing, logic in computer science, mobile computing, models of computation, networks, parallel and distributed computing, quantum computing, semantics and verification of programs, theoretical issues in artificial intelligence.

Author : Jan Okninski
Publisher : CRC Press
ISBN 13 : 1000147665
Total Pages : 288 pages
Book Rating : 4.67/5 ( download)

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Download or read book Semigroup Algebras written by Jan Okninski and published by CRC Press. This book was released on 2020-08-27 with total page 288 pages. Available in PDF, EPUB and Kindle. Book excerpt: Gathers and unifies the results of the theory of noncommutative semigroup rings, primarily drawing on the literature of the last 10 years, and including several new results. Okninski (Warsaw U., Poland) restricts coverage to the ring theoretical properties for which a systematic treatment is current

Author : Stefanie Küpper
Publisher : Logos Verlag Berlin GmbH
ISBN 13 : 3832527249
Total Pages : 79 pages
Book Rating : 4.42/5 ( download)

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Download or read book Two-sided Projective Resolutions, Periodicity and Local Algebras written by Stefanie Küpper and published by Logos Verlag Berlin GmbH. This book was released on 2010 with total page 79 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book introduces a new point of view on two-sided projective resolutions of associative algebras. By gluing the vertices we associate a local algebra A_{locto any finite dimensional algebra A. We try to derive information on the cohomology of A from the associated local algebra A_{loc, that is from the local equivalence class of A. For instance, the Anick-Green resolution is minimal for A if and only if it is so for A_{loc. We can read off the relations of A whether there is a locally equivalent algebra that has a finite or a periodic bimodule resolution over itself. Comparing an algebra A and an associated monomial algebra A_{mon, there are inequalities of the following kind: If the resolution of the monomial algebra A_{monis locally finite, then the resolution of A is locally finite. If the resolution of A_{monis locally periodic, then the resolution of A is either locally finite or locally almost periodic.

Author :
Publisher : Elsevier
ISBN 13 : 0080532977
Total Pages : 1185 pages
Book Rating : 4.74/5 ( download)

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Download or read book Handbook of Algebra written by and published by Elsevier. This book was released on 2003-10-15 with total page 1185 pages. Available in PDF, EPUB and Kindle. Book excerpt: Handbook of Algebra

Author : Edward L. Green
Publisher : American Mathematical Soc.
ISBN 13 : 0821809288
Total Pages : 378 pages
Book Rating : 4.80/5 ( download)

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Download or read book Trends in the Representation Theory of Finite Dimensional Algebras written by Edward L. Green and published by American Mathematical Soc.. This book was released on 1998 with total page 378 pages. Available in PDF, EPUB and Kindle. Book excerpt: This refereed collection of research papers and survey articles reflects the interplay of finite-dimensional algebras with other areas (algebraic geometry, homological algebra, and the theory of quantum groups). Current trends are presented from the discussions at the AMS-IMS-SIAM Joint Summer Research Conference at the University of Washington (Seattle). The volume features several excellent expository articles which will introduce inspiration to researchers in related areas, as it includes original papers spanning a broad spectrum of representation theory.

Author : Alexei Kanel-Belov
Publisher : CRC Press
ISBN 13 : 1439863725
Total Pages : 400 pages
Book Rating : 4.25/5 ( download)

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Download or read book Computational Aspects of Polynomial Identities written by Alexei Kanel-Belov and published by CRC Press. This book was released on 2005-02-22 with total page 400 pages. Available in PDF, EPUB and Kindle. Book excerpt: A comprehensive study of the main research done in polynomial identities over the last 25 years, including Kemer's solution to the Specht problem in characteristic O and examples in the characteristic p situation. The authors also cover codimension theory, starting with Regev's theorem and continuing through the Giambruno-Zaicev exponential rank. T

Author : T. Mora
Publisher : Springer Science & Business Media
ISBN 13 : 1461204410
Total Pages : 504 pages
Book Rating : 4.11/5 ( download)

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Download or read book Effective Methods in Algebraic Geometry written by T. Mora and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 504 pages. Available in PDF, EPUB and Kindle. Book excerpt: The symposium "MEGA-90 - Effective Methods in Algebraic Geome try" was held in Castiglioncello (Livorno, Italy) in April 17-211990. The themes - we quote from the "Call for papers" - were the fol lowing: - Effective methods and complexity issues in commutative algebra, pro jective geometry, real geometry, algebraic number theory - Algebraic geometric methods in algebraic computing Contributions in related fields (computational aspects of group theory, differential algebra and geometry, algebraic and differential topology, etc.) were also welcome. The origin and the motivation of such a meeting, that is supposed to be the first of a series, deserves to be explained. The subject - the theory and the practice of computation in alge braic geometry and related domains from the mathematical viewpoin- has been one of the themes of the symposia organized by SIGSAM (the Special Interest Group for Symbolic and Algebraic Manipulation of the Association for Computing Machinery), SAME (Symbolic and Algebraic Manipulation in Europe), and AAECC (the semantics of the name is vary ing; an average meaning is "Applied Algebra and Error Correcting Codes").

Author : Fla'vio Ulhoa Coelho
Publisher : CRC Press
ISBN 13 : 1482271141
Total Pages : 307 pages
Book Rating : 4.40/5 ( download)

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Download or read book Representations of Algebras written by Fla'vio Ulhoa Coelho and published by CRC Press. This book was released on 2019-05-20 with total page 307 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the proceedings of the Conference on Representations of Algebras - Sao Paulo (CRASP), held at the Instituto de Matematica e Estatistica of the Universidade de Sao Paulo, Brazil. It discusses Hopf, tubular, quasischurian, wild hereditary, concealed-canonical Artin, Brauer star, and Koszul algebras.