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Commutative Semigroup Rings
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Book Synopsis Commutative Semigroup Rings by : Robert Gilmer
Download or read book Commutative Semigroup Rings written by Robert Gilmer and published by University of Chicago Press. This book was released on 1984-03-15 with total page 392 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commutative Semigroup Rings was the first exposition of the basic properties of semigroup rings. Gilmer concentrates on the interplay between semigroups and rings, thereby illuminating both of these important concepts in modern algebra.
Book Synopsis Group and Semigroup Rings by : G. Karpilovsky
Download or read book Group and Semigroup Rings written by G. Karpilovsky and published by Elsevier. This book was released on 2011-09-22 with total page 266 pages. Available in PDF, EPUB and Kindle. Book excerpt: A broad range of topics is covered here, including commutative monoid rings, the Jacobson radical of semigroup rings, blocks of modular group algebras, nilpotency index of the radical of group algebras, the isomorphism problem for group rings, inverse semigroup algebras and the Picard group of an abelian group ring. The survey lectures provide an up-to-date account of the current state of the subject and form a comprehensive introduction for intending researchers.
Book Synopsis Arithmetical Properties of Commutative Rings and Monoids by : Scott T. Chapman
Download or read book Arithmetical Properties of Commutative Rings and Monoids written by Scott T. Chapman and published by CRC Press. This book was released on 2005-03-01 with total page 410 pages. Available in PDF, EPUB and Kindle. Book excerpt: The study of nonunique factorizations of elements into irreducible elements in commutative rings and monoids has emerged as an independent area of research only over the last 30 years and has enjoyed a recent flurry of activity and advancement. This book presents the proceedings of two recent meetings that gathered key researchers from around the w
Book Synopsis The Algebraic Theory of Semigroups, Volume II by : Alfred Hoblitzelle Clifford
Download or read book The Algebraic Theory of Semigroups, Volume II written by Alfred Hoblitzelle Clifford and published by American Mathematical Soc.. This book was released on 1961 with total page 370 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Book Synopsis Finitely Generated Commutative Monoids by : J. C. Rosales
Download or read book Finitely Generated Commutative Monoids written by J. C. Rosales and published by Nova Publishers. This book was released on 1999 with total page 204 pages. Available in PDF, EPUB and Kindle. Book excerpt: A textbook for an undergraduate course, requiring only a knowledge of basic linear algebra. Explains how to compute presentations for finitely generated cancellative monoids, and from a presentation of a monoid, decide whether this monoid is cancellative, reduced, separative, finite, torsion free, group, affine, full, normal, etc. Of most interest to people working with semigroup theory, but also in other areas of algebra. Annotation copyrighted by Book News, Inc., Portland, OR
Book Synopsis Algebraic Geometry and Commutative Algebra by : Hiroaki Hijikata
Download or read book Algebraic Geometry and Commutative Algebra written by Hiroaki Hijikata and published by Academic Press. This book was released on 2014-05-10 with total page 417 pages. Available in PDF, EPUB and Kindle. Book excerpt: Algebraic Geometry and Commutative Algebra in Honor of Masayoshi Nagata presents a collection of papers on algebraic geometry and commutative algebra in honor of Masayoshi Nagata for his significant contributions to commutative algebra. Topics covered range from power series rings and rings of invariants of finite linear groups to the convolution algebra of distributions on totally disconnected locally compact groups. The discussion begins with a description of several formulas for enumerating certain types of objects, which may be tabular arrangements of integers called Young tableaux or some types of monomials. The next chapter explains how to establish these enumerative formulas, with emphasis on the role played by transformations of determinantal polynomials and recurrence relations satisfied by them. The book then turns to several applications of the enumerative formulas and universal identity, including including enumerative proofs of the straightening law of Doubilet-Rota-Stein and computations of Hilbert functions of polynomial ideals of certain determinantal loci. Invariant differentials and quaternion extensions are also examined, along with the moduli of Todorov surfaces and the classification problem of embedded lines in characteristic p. This monograph will be a useful resource for practitioners and researchers in algebra and geometry.
Book Synopsis Focus on Commutative Rings Research by : Ayman Badawi
Download or read book Focus on Commutative Rings Research written by Ayman Badawi and published by Nova Publishers. This book was released on 2006 with total page 220 pages. Available in PDF, EPUB and Kindle. Book excerpt: Focus on Commutative Rings Research
Book Synopsis Trends in Commutative Rings Research by : Ayman Badawi
Download or read book Trends in Commutative Rings Research written by Ayman Badawi and published by Nova Publishers. This book was released on 2004 with total page 228 pages. Available in PDF, EPUB and Kindle. Book excerpt: Trends in Commutative Rings Research
Book Synopsis Multiplicative Ideal Theory in Commutative Algebra by : James W. Brewer
Download or read book Multiplicative Ideal Theory in Commutative Algebra written by James W. Brewer and published by Springer Science & Business Media. This book was released on 2006-12-15 with total page 437 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume, a tribute to the work of Robert Gilmer, consists of twenty-four articles authored by his most prominent students and followers. These articles combine surveys of past work by Gilmer and others, recent results which have never before seen print, open problems, and extensive bibliographies. The entire collection provides an in-depth overview of the topics of research in a significant and large area of commutative algebra.
Book Synopsis Advances in Commutative Ring Theory by : David Dobbs
Download or read book Advances in Commutative Ring Theory written by David Dobbs and published by CRC Press. This book was released on 1999-03-04 with total page 578 pages. Available in PDF, EPUB and Kindle. Book excerpt: "Presents the proceedings of the recently held Third International Conference on Commutative Ring Theory in Fez, Morocco. Details the latest developments in commutative algebra and related areas-featuring 26 original research articles and six survey articles on fundamental topics of current interest. Examines wide-ranging developments in commutative algebra, together with connections to algebraic number theory and algebraic geometry."
Book Synopsis Commutative Ring Theory by : Paul-Jean Cahen
Download or read book Commutative Ring Theory written by Paul-Jean Cahen and published by CRC Press. This book was released on 2023-06-14 with total page 489 pages. Available in PDF, EPUB and Kindle. Book excerpt: Presents the proceedings of the Second International Conference on Commutative Ring Theory in Fes, Morocco. The text details developments in commutative algebra, highlighting the theory of rings and ideals. It explores commutative algebra's connections with and applications to topological algebra and algebraic geometry.
Book Synopsis Semigroup Algebras by : Jan Okninski
Download or read book Semigroup Algebras written by Jan Okninski and published by CRC Press. This book was released on 2020-08-26 with total page 376 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
Book Synopsis Cohen-Macaulay Rings by : Winfried Bruns
Download or read book Cohen-Macaulay Rings written by Winfried Bruns and published by Cambridge University Press. This book was released on 1998-06-18 with total page 471 pages. Available in PDF, EPUB and Kindle. Book excerpt: In the last two decades Cohen-Macaulay rings and modules have been central topics in commutative algebra. This book meets the need for a thorough, self-contained introduction to the homological and combinatorial aspects of the theory of Cohen-Macaulay rings, Gorenstein rings, local cohomology, and canonical modules. A separate chapter is devoted to Hilbert functions (including Macaulay's theorem) and numerical invariants derived from them. The authors emphasize the study of explicit, specific rings, making the presentation as concrete as possible. So the general theory is applied to Stanley-Reisner rings, semigroup rings, determinantal rings, and rings of invariants. Their connections with combinatorics are highlighted, e.g. Stanley's upper bound theorem or Ehrhart's reciprocity law for rational polytopes. The final chapters are devoted to Hochster's theorem on big Cohen-Macaulay modules and its applications, including Peskine-Szpiro's intersection theorem, the Evans-Griffith syzygy theorem, bounds for Bass numbers, and tight closure. Throughout each chapter the authors have supplied many examples and exercises which, combined with the expository style, will make the book very useful for graduate courses in algebra. As the only modern, broad account of the subject it will be essential reading for researchers in commutative algebra.
Book Synopsis Rings, Modules, Algebras, and Abelian Groups by : Alberto Facchini
Download or read book Rings, Modules, Algebras, and Abelian Groups written by Alberto Facchini and published by CRC Press. This book was released on 2020-02-10 with total page 530 pages. Available in PDF, EPUB and Kindle. Book excerpt: Rings, Modules, Algebras, and Abelian Groups summarizes the proceedings of a recent algebraic conference held at Venice International University in Italy. Surveying the most influential developments in the field, this reference reviews the latest research on Abelian groups, algebras and their representations, module and ring theory, and topological
Book Synopsis Combinatorial Commutative Algebra by : Ezra Miller
Download or read book Combinatorial Commutative Algebra written by Ezra Miller and published by Springer Science & Business Media. This book was released on 2005-06-21 with total page 442 pages. Available in PDF, EPUB and Kindle. Book excerpt: Recent developments are covered Contains over 100 figures and 250 exercises Includes complete proofs
Book Synopsis Smarandache Rings by : W. B. Vasantha Kandasamy
Download or read book Smarandache Rings written by W. B. Vasantha Kandasamy and published by Infinite Study. This book was released on 2002 with total page 222 pages. Available in PDF, EPUB and Kindle. Book excerpt: Generally, in any human field, a Smarandache Structure on a set A means a weak structure W on A such that there exists a proper subset B which is embedded with a stronger structure S.By proper subset one understands a set included in A, different from the empty set, from the unit element if any, and from A.These types of structures occur in our every day?s life, that?s why we study them in this book.Thus, as two particular cases:A Smarandache ring of level I (S-ring I) is a ring R that contains a proper subset that is a field with respect to the operations induced. A Smarandache ring of level II (S-ring II) is a ring R that contains a proper subset A that verifies: ?A is an additive abelian group; ?A is a semigroup under multiplication;?For a, b I A, a?b = 0 if and only if a = 0 or b = 0.
Book Synopsis Graphs from Rings by : David F. Anderson
Download or read book Graphs from Rings written by David F. Anderson and published by Springer Nature. This book was released on 2021-10-31 with total page 548 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book gives an overview of research on graphs associated with commutative rings. The study of the connections between algebraic structures and certain graphs, especially finite groups and their Cayley graphs, is a classical subject which has attracted a lot of interest. More recently, attention has focused on graphs constructed from commutative rings, a field of study which has generated an extensive amount of research over the last three decades. The aim of this text is to consolidate this large body of work into a single volume, with the intention of encouraging interdisciplinary research between algebraists and graph theorists, using the tools of one subject to solve the problems of the other. The topics covered include the graphical and topological properties of zero-divisor graphs, total graphs and their transformations, and other graphs associated with rings. The book will be of interest to researchers in commutative algebra and graph theory and anyone interested in learning about the connections between these two subjects.
