Algebras Rings And Modules
Download Algebras Rings And Modules full books in PDF, epub, and Kindle. Read online free Algebras Rings And Modules ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads.
Author |
: Michiel Hazewinkel |
Publisher |
: CRC Press |
Total Pages |
: 384 |
Release |
: 2016-04-05 |
ISBN-10 |
: 9781482245059 |
ISBN-13 |
: 1482245051 |
Rating |
: 4/5 (59 Downloads) |
Synopsis Algebras, Rings and Modules by : Michiel Hazewinkel
The theory of algebras, rings, and modules is one of the fundamental domains of modern mathematics. General algebra, more specifically non-commutative algebra, is poised for major advances in the twenty-first century (together with and in interaction with combinatorics), just as topology, analysis, and probability experienced in the twentieth centu
Author |
: Toma Albu |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 204 |
Release |
: 2011-02-04 |
ISBN-10 |
: 9783034600071 |
ISBN-13 |
: 3034600070 |
Rating |
: 4/5 (71 Downloads) |
Synopsis Ring and Module Theory by : Toma Albu
This book is a collection of invited papers and articles, many presented at the 2008 International Conference on Ring and Module Theory. The papers explore the latest in various areas of algebra, including ring theory, module theory and commutative algebra.
Author |
: Frank W. Anderson |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 386 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461244189 |
ISBN-13 |
: 1461244188 |
Rating |
: 4/5 (89 Downloads) |
Synopsis Rings and Categories of Modules by : Frank W. Anderson
This book is intended to provide a reasonably self-contained account of a major portion of the general theory of rings and modules suitable as a text for introductory and more advanced graduate courses. We assume the famil iarity with rings usually acquired in standard undergraduate algebra courses. Our general approach is categorical rather than arithmetical. The continuing theme of the text is the study of the relationship between the one-sided ideal structure that a ring may possess and the behavior of its categories of modules. Following a brief outline of set-theoretic and categorical foundations, the text begins with the basic definitions and properties of rings, modules and homomorphisms and ranges through comprehensive treatments of direct sums, finiteness conditions, the Wedderburn-Artin Theorem, the Jacobson radical, the hom and tensor functions, Morita equivalence and duality, de composition theory of injective and projective modules, and semi perfect and perfect rings. In this second edition we have included a chapter containing many of the classical results on artinian rings that have hdped to form the foundation for much of the contemporary research on the representation theory of artinian rings and finite dimensional algebras. Both to illustrate the text and to extend it we have included a substantial number of exercises covering a wide spectrum of difficulty. There are, of course" many important areas of ring and module theory that the text does not touch upon.
Author |
: T.Y. Lam |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 427 |
Release |
: 2009-12-08 |
ISBN-10 |
: 9780387488998 |
ISBN-13 |
: 0387488995 |
Rating |
: 4/5 (98 Downloads) |
Synopsis Exercises in Modules and Rings by : T.Y. Lam
This volume offers a compendium of exercises of varying degree of difficulty in the theory of modules and rings. It is the companion volume to GTM 189. All exercises are solved in full detail. Each section begins with an introduction giving the general background and the theoretical basis for the problems that follow.
Author |
: Craig Huneke |
Publisher |
: Cambridge University Press |
Total Pages |
: 446 |
Release |
: 2006-10-12 |
ISBN-10 |
: 9780521688604 |
ISBN-13 |
: 0521688604 |
Rating |
: 4/5 (04 Downloads) |
Synopsis Integral Closure of Ideals, Rings, and Modules by : Craig Huneke
Ideal for graduate students and researchers, this book presents a unified treatment of the central notions of integral closure.
Author |
: Alberto Facchini |
Publisher |
: CRC Press |
Total Pages |
: |
Release |
: 2018-09-18 |
ISBN-10 |
: 1138401838 |
ISBN-13 |
: 9781138401839 |
Rating |
: 4/5 (38 Downloads) |
Synopsis Rings, Modules, Algebras, and Abelian Groups by : Alberto Facchini
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 algebraic structures, and provides more than 600 current references and 570 display equations for further exploration of the topic. It provides stimulating discussions from world-renowned names including Laszlo Fuchs, Robert Gilmer, Saharon Shelah, Daniel Simson, and Richard Swan to celebrate 40 years of study on cumulative rings. Describing emerging theories
Author |
: John Dauns |
Publisher |
: Cambridge University Press |
Total Pages |
: 470 |
Release |
: 1994-10-28 |
ISBN-10 |
: 9780521462587 |
ISBN-13 |
: 0521462584 |
Rating |
: 4/5 (87 Downloads) |
Synopsis Modules and Rings by : John Dauns
This book on modern module and non-commutative ring theory is ideal for beginning graduate students. It starts at the foundations of the subject and progresses rapidly through the basic concepts to help the reader reach current research frontiers. Students will have the chance to develop proofs, solve problems, and to find interesting questions. The first half of the book is concerned with free, projective, and injective modules, tensor algebras, simple modules and primitive rings, the Jacobson radical, and subdirect products. Later in the book, more advanced topics, such as hereditary rings, categories and functors, flat modules, and purity are introduced. These later chapters will also prove a useful reference for researchers in non-commutative ring theory. Enough background material (including detailed proofs) is supplied to give the student a firm grounding in the subject.
Author |
: Joachim Lambek |
Publisher |
: |
Total Pages |
: 206 |
Release |
: 1966 |
ISBN-10 |
: UOM:39015015616504 |
ISBN-13 |
: |
Rating |
: 4/5 (04 Downloads) |
Synopsis Lectures on Rings and Modules by : Joachim Lambek
Author |
: Tsit-Yuen Lam |
Publisher |
: Springer Science & Business Media |
Total Pages |
: 577 |
Release |
: 2012-12-06 |
ISBN-10 |
: 9781461205258 |
ISBN-13 |
: 1461205255 |
Rating |
: 4/5 (58 Downloads) |
Synopsis Lectures on Modules and Rings by : Tsit-Yuen Lam
This new book can be read independently from the first volume and may be used for lecturing, seminar- and self-study, or for general reference. It focuses more on specific topics in order to introduce readers to a wealth of basic and useful ideas without the hindrance of heavy machinery or undue abstractions. User-friendly with its abundance of examples illustrating the theory at virtually every step, the volume contains a large number of carefully chosen exercises to provide newcomers with practice, while offering a rich additional source of information to experts. A direct approach is used in order to present the material in an efficient and economic way, thereby introducing readers to a considerable amount of interesting ring theory without being dragged through endless preparatory material.
Author |
: Bernard R. McDonald |
Publisher |
: CRC Press |
Total Pages |
: 563 |
Release |
: 2020-11-26 |
ISBN-10 |
: 9781000146462 |
ISBN-13 |
: 1000146464 |
Rating |
: 4/5 (62 Downloads) |
Synopsis Linear Algebra over Commutative Rings by : Bernard R. McDonald
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.