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Author :
Publisher : Elsevier
ISBN 13 : 0080871259
Total Pages : 131 pages
Book Rating : 4.0/5 (88 download)
Download or read book Divisor Theory in Module Categories written by and published by Elsevier. This book was released on 2011-08-26 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: Divisor Theory in Module Categories
Author : W. V. Vasconcelos
Publisher : Elsevier
ISBN 13 : 1483257207
Total Pages : 131 pages
Book Rating : 4.4/5 (832 download)
Download or read book Divisor Theory in Module Categories written by W. V. Vasconcelos and published by Elsevier. This book was released on 2016-06-03 with total page 131 pages. Available in PDF, EPUB and Kindle. Book excerpt: North-Holland Mathematics Studies, 14: Divisor Theory in Module Categories focuses on the principles, operations, and approaches involved in divisor theory in module categories, including rings, divisors, modules, and complexes. The book first takes a look at local algebra and homology of local rings. Discussions focus on Gorenstein rings, Euler characteristics of modules, Macaulay rings, Koszul complexes, Noetherian and coherent rings, flatness, and Fitting's invariants. The text then explains divisorial ideals, including divisors, modules of dimension one, and higher divisorial ideals. The manuscript ponders on spherical modules and divisors and I-divisors. Topics include construction, Euler characteristics of Inj (A), change of rings and dimensions, spherical modules, resolutions and divisors, and elementary properties. The text is a valuable source of information for mathematicians and researchers interested in divisor theory in module categories.
Author : Wolmer V. Vasconcelos
Publisher :
ISBN 13 :
Total Pages : 136 pages
Book Rating : 4.:/5 (44 download)
Download or read book Divisor Theory in Module Categories written by Wolmer V. Vasconcelos and published by . This book was released on 1974 with total page 136 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : Wolmer V. Vasconcelos
Publisher :
ISBN 13 : 9780720427004
Total Pages : 120 pages
Book Rating : 4.4/5 (27 download)
Download or read book Divisor Theory in Module Categories written by Wolmer V. Vasconcelos and published by . This book was released on 1974 with total page 120 pages. Available in PDF, EPUB and Kindle. Book excerpt:
Author : A. J. Berrick
Publisher : Cambridge University Press
ISBN 13 : 9780521632768
Total Pages : 384 pages
Book Rating : 4.6/5 (327 download)
Download or read book Categories and Modules with K-Theory in View written by A. J. Berrick and published by Cambridge University Press. This book was released on 2000-05-25 with total page 384 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book, first published in 2000, develops aspects of category theory fundamental to the study of algebraic K-theory. Ring and module theory illustrates category theory which provides insight into more advanced topics in module theory. Starting with categories in general, the text then examines categories of K-theory. This leads to the study of tensor products and the Morita theory. The categorical approach to localizations and completions of modules is formulated in terms of direct and inverse limits, prompting a discussion of localization of categories in general. Finally, local-global techniques which supply information about modules from their localizations and completions and underlie some interesting applications of K-theory to number theory and geometry are considered. Many useful exercises, concrete illustrations of abstract concepts placed in their historical settings and an extensive list of references are included. This book will help all who wish to work in K-theory to master its prerequisites.
Author : Hideyuki Matsumura
Publisher : Cambridge University Press
ISBN 13 : 9780521367646
Total Pages : 338 pages
Book Rating : 4.3/5 (676 download)
Download or read book Commutative Ring Theory written by Hideyuki Matsumura and published by Cambridge University Press. This book was released on 1989-05-25 with total page 338 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book explores commutative ring theory, an important a foundation for algebraic geometry and complex analytical geometry.
Author : Nicholas R. Baeth
Publisher : American Mathematical Soc.
ISBN 13 : 147045601X
Total Pages : 224 pages
Book Rating : 4.4/5 (74 download)
Download or read book Commutative Algebra: 150 Years with Roger and Sylvia Wiegand written by Nicholas R. Baeth and published by American Mathematical Soc.. This book was released on 2021-10-06 with total page 224 pages. Available in PDF, EPUB and Kindle. Book excerpt: This volume contains the combined Proceedings of the Second International Meeting on Commutative Algebra and Related Areas (SIMCARA) held from July 22–26, 2019, at the Universidade de São Paulo, São Carlos, Brazil, and the AMS Special Session on Commutative Algebra, held from September 14–15, 2019, at the University of Wisconsin-Madison, Wisconsin. These two meetings celebrated the combined 150th birthday of Roger and Sylvia Wiegand. The Wiegands have been a fixture in the commutative algebra community, as well as the wider mathematical community, for over 40 years. Articles in this volume cover various areas of factorization theory, homological algebra, ideal theory, representation theory, homological rigidity, maximal Cohen-Macaulay modules, and the behavior of prime spectra under completion, as well as some topics in related fields. The volume itself bears evidence that the area of commutative algebra is a vibrant one and highlights the influence of the Wiegands on generations of researchers. It will be useful to researchers and graduate students.
Author : S.T. Chapman
Publisher : Springer Science & Business Media
ISBN 13 : 1475731809
Total Pages : 477 pages
Book Rating : 4.4/5 (757 download)
Download or read book Non-Noetherian Commutative Ring Theory written by S.T. Chapman and published by Springer Science & Business Media. This book was released on 2013-03-09 with total page 477 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commutative Ring Theory emerged as a distinct field of research in math ematics only at the beginning of the twentieth century. It is rooted in nine teenth century major works in Number Theory and Algebraic Geometry for which it provided a useful tool for proving results. From this humble origin, it flourished into a field of study in its own right of an astonishing richness and interest. Nowadays, one has to specialize in an area of this vast field in order to be able to master its wealth of results and come up with worthwhile contributions. One of the major areas of the field of Commutative Ring Theory is the study of non-Noetherian rings. The last ten years have seen a lively flurry of activity in this area, including: a large number of conferences and special sections at national and international meetings dedicated to presenting its results, an abundance of articles in scientific journals, and a substantial number of books capturing some of its topics. This rapid growth, and the occasion of the new Millennium, prompted us to embark on a project aimed at presenting an overview of the recent research in the area. With this in mind, we invited many of the most prominent researchers in Non-Noetherian Commutative Ring Theory to write expository articles representing the most recent topics of research in this area.
Author : Bernard R. McDonald
Publisher : CRC Press
ISBN 13 : 1000110613
Total Pages : 561 pages
Book Rating : 4.0/5 (1 download)
Download or read book Linear Algebra over Commutative Rings written by Bernard R. McDonald and published by CRC Press. This book was released on 2020-11-25 with total page 561 pages. Available in PDF, EPUB and Kindle. Book excerpt: This monograph arose from lectures at the University of Oklahoma on topics related to linear algebra over commutative rings. It provides an introduction of matrix theory over commutative rings. The monograph discusses the structure theory of a projective module.
Author : Irena Peeva
Publisher : Springer Nature
ISBN 13 : 3030896943
Total Pages : 898 pages
Book Rating : 4.0/5 (38 download)
Download or read book Commutative Algebra written by Irena Peeva and published by Springer Nature. This book was released on 2022-02-18 with total page 898 pages. Available in PDF, EPUB and Kindle. Book excerpt: This contributed volume is a follow-up to the 2013 volume of the same title, published in honor of noted Algebraist David Eisenbud's 65th birthday. It brings together the highest quality expository papers written by leaders and talented junior mathematicians in the field of Commutative Algebra. Contributions cover a very wide range of topics, including core areas in Commutative Algebra and also relations to Algebraic Geometry, Category Theory, Combinatorics, Computational Algebra, Homological Algebra, Hyperplane Arrangements, and Non-commutative Algebra. The book aims to showcase the area and aid junior mathematicians and researchers who are new to the field in broadening their background and gaining a deeper understanding of the current research in this area. Exciting developments are surveyed and many open problems are discussed with the aspiration to inspire the readers and foster further research.
Author : Susan M. Cooper
Publisher : Springer
ISBN 13 : 1493906267
Total Pages : 328 pages
Book Rating : 4.4/5 (939 download)
Download or read book Connections Between Algebra, Combinatorics, and Geometry written by Susan M. Cooper and published by Springer. This book was released on 2014-05-16 with total page 328 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commutative algebra, combinatorics, and algebraic geometry are thriving areas of mathematical research with a rich history of interaction. Connections Between Algebra and Geometry contains lecture notes, along with exercises and solutions, from the Workshop on Connections Between Algebra and Geometry held at the University of Regina from May 29-June 1, 2012. It also contains research and survey papers from academics invited to participate in the companion Special Session on Interactions Between Algebraic Geometry and Commutative Algebra, which was part of the CMS Summer Meeting at the University of Regina held June 2–3, 2012, and the meeting Further Connections Between Algebra and Geometry, which was held at the North Dakota State University February 23, 2013. This volume highlights three mini-courses in the areas of commutative algebra and algebraic geometry: differential graded commutative algebra, secant varieties, and fat points and symbolic powers. It will serve as a useful resource for graduate students and researchers who wish to expand their knowledge of commutative algebra, algebraic geometry, combinatorics, and the intricacies of their intersection.
Author : Jan R. Strooker
Publisher : Cambridge University Press
ISBN 13 : 0521315263
Total Pages : 325 pages
Book Rating : 4.5/5 (213 download)
Download or read book Homological Questions in Local Algebra written by Jan R. Strooker and published by Cambridge University Press. This book was released on 1990-09-06 with total page 325 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book presents an account of several conjectures arising in commutative algebra from the pioneering work of Serre and Auslander-Buchsbaum. The approach is via Hochster's 'Big Cohen-Macaulay modules', though the complementary view point of Peskine-Szpiro and Roberts, who study the homology of certain complexes, is not neglected. Various refinements of Hochster's construction, obtained in collaboration with Bartijn, are included. A special feature is a long chapter written by Van den Dries which explains how a certain type of result can be 'lifted' from prime characteristic to characteristic zero. Though this is primarily a research monograph, it does provide introductions to most of the topics treated. Non-experts may therefore find it an appealing guide into an active area of algebra.
Author : Rüdiger Göbel
Publisher : Walter de Gruyter
ISBN 13 : 3110203030
Total Pages : 509 pages
Book Rating : 4.1/5 (12 download)
Download or read book Models, Modules and Abelian Groups written by Rüdiger Göbel and published by Walter de Gruyter. This book was released on 2008-12-10 with total page 509 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is a memorial volume dedicated to A. L. S. Corner, previously Professor in Oxford, who published important results on algebra, especially on the connections of modules with endomorphism algebras. The volume contains refereed contributions which are related to the work of Corner. It contains also an unpublished extended paper of Corner himself. A memorial volume with important contributions related to algebra.
Author : Marco Fontana
Publisher : Springer Science & Business Media
ISBN 13 : 144196990X
Total Pages : 491 pages
Book Rating : 4.4/5 (419 download)
Download or read book Commutative Algebra written by Marco Fontana and published by Springer Science & Business Media. This book was released on 2010-09-29 with total page 491 pages. Available in PDF, EPUB and Kindle. Book excerpt: Commutative algebra is a rapidly growing subject that is developing in many different directions. This volume presents several of the most recent results from various areas related to both Noetherian and non-Noetherian commutative algebra. This volume contains a collection of invited survey articles by some of the leading experts in the field. The authors of these chapters have been carefully selected for their important contributions to an area of commutative-algebraic research. Some topics presented in the volume include: generalizations of cyclic modules, zero divisor graphs, class semigroups, forcing algebras, syzygy bundles, tight closure, Gorenstein dimensions, tensor products of algebras over fields, as well as many others. This book is intended for researchers and graduate students interested in studying the many topics related to commutative algebra.
Author : Alberto Corso
Publisher : CRC Press
ISBN 13 : 1420028324
Total Pages : 289 pages
Book Rating : 4.4/5 (2 download)
Download or read book Commutative Algebra written by Alberto Corso and published by CRC Press. This book was released on 2005-08-15 with total page 289 pages. Available in PDF, EPUB and Kindle. Book excerpt: Packed with contributions from international experts, Commutative Algebra: Geometric, Homological, Combinatorial, and Computational Aspects features new research results that borrow methods from neighboring fields such as combinatorics, homological algebra, polyhedral geometry, symbolic computation, and topology. This book consists of articles pres
Author : Rafael Villarreal
Publisher : CRC Press
ISBN 13 : 148223470X
Total Pages : 704 pages
Book Rating : 4.4/5 (822 download)
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 : Sarah Glaz
Publisher : Springer
ISBN 13 : 3540461590
Total Pages : 358 pages
Book Rating : 4.5/5 (44 download)
Download or read book Commutative Coherent Rings written by Sarah Glaz and published by Springer. This book was released on 2006-11-14 with total page 358 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book provides the first extensive and systematic treatment of the theory of commutative coherent rings. It blends, and provides a link, between the two sometimes disjoint approaches available in the literature, the ring theoretic approach, and the homological algebra approach. The book covers most results in commutative coherent ring theory known to date, as well as a number of results never published before. Starting with elementary results, the book advances to topics such as: uniform coherence, regular rings, rings of small homological dimensions, polynomial and power series rings, group rings and symmetric algebra over coherent rings. The subject of coherence is brought to the frontiers of research, exposing the open problems in the field. Most topics are treated in their fully generality, deriving the results on coherent rings as conclusions of the general theory. Thus, the book develops many of the tools of modern research in commutative algebra with a variety of examples and counterexamples. Although the book is essentially self-contained, basic knowledge of commutative and homological algebra is recommended. It addresses graduate students and researchers.
