Rings Monoids And Module Theory

Author : Ayman Badawi,Jim Coykendall
Publisher : Unknown
Page : 0 pages
File Size : 53,6 Mb
Release : 2021
Category : Electronic
ISBN : 9811684235

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Rings, Monoids and Module Theory by Ayman Badawi,Jim Coykendall Pdf

This book contains select papers on rings, monoids and module theory which are presented at the 3rd International Conference on Mathematics and Statistics (AUS-ICMS 2020) held at the American University of Sharjah, United Arab Emirates, from 6-9 February 2020. This conference was held in honour of the work of the distinguished algebraist Daniel D. Anderson. Many participants and colleagues from around the world felt it appropriate to acknowledge his broad and sweeping contributions to research in algebra by writing an edited volume in his honor. The topics covered are, inevitably, a cross-section of the vast expanse that is modern algebra. The book is divided into two sections-surveys and recent research developments-with each section hopefully offering symbiotic utility to the reader. The book contains a balanced mix of survey papers, which will enable expert and non-expert alike to get a good overview of developments across a range of areas of algebra. The book is expected to be of interest to both beginning graduate students and experienced researchers. .

Author : Ayman Badawi,Jim Coykendall
Publisher : Springer Nature
Page : 317 pages
File Size : 53,5 Mb
Release : 2022-03-11
Category : Mathematics
ISBN : 9789811684227

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Rings, Monoids and Module Theory by Ayman Badawi,Jim Coykendall Pdf

This book contains select papers on rings, monoids and module theory which are presented at the 3rd International Conference on Mathematics and Statistics (AUS-ICMS 2020) held at the American University of Sharjah, United Arab Emirates, from 6–9 February 2020. This conference was held in honour of the work of the distinguished algebraist Daniel D. Anderson. Many participants and colleagues from around the world felt it appropriate to acknowledge his broad and sweeping contributions to research in algebra by writing an edited volume in his honor. The topics covered are, inevitably, a cross-section of the vast expansion of modern algebra. The book is divided into two sections—surveys and recent research developments—with each section hopefully offering symbiotic utility to the reader. The book contains a balanced mix of survey papers, which will enable expert and non-expert alike to get a good overview of developments across a range of areas of algebra. The book is expected to be of interest to both beginning graduate students and experienced researchers.

Author : Toma Albu,Gary F. Birkenmeier,Ali Erdogan,Adnan Tercan
Publisher : Springer Science & Business Media
Page : 200 pages
File Size : 46,7 Mb
Release : 2011-02-04
Category : Mathematics
ISBN : 9783034600071

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Ring and Module Theory by Toma Albu,Gary F. Birkenmeier,Ali Erdogan,Adnan Tercan Pdf

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 : John Dauns
Publisher : Cambridge University Press
Page : 470 pages
File Size : 40,6 Mb
Release : 1994-10-28
Category : Mathematics
ISBN : 9780521462587

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Modules and Rings by John Dauns Pdf

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 : Golan
Publisher : CRC Press
Page : 272 pages
File Size : 49,8 Mb
Release : 2017-10-19
Category : Mathematics
ISBN : 9781351430371

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Modules and the Structure of Rings by Golan Pdf

This textbook is designed for students with at least one solid semester of abstract algebra,some linear algebra background, and no previous knowledge of module theory. Modulesand the Structure of Rings details the use of modules over a ring as a means of consideringthe structure of the ring itself--explaining the mathematics and "inductivereasoning" used in working on ring theory challenges and emphasizing modules insteadof rings.Stressing the inductive aspect of mathematical research underlying the formal deductivestyle of the literature, this volume offers vital background on current methods for solvinghard classification problems of algebraic structures. Written in an informal butcompletely rigorous style, Modules and the Structure of Rings clarifies sophisticatedproofs ... avoids the formalism of category theory ... aids independent study or seminarwork ... and supplies end-of-chapter problems.This book serves as an excellent primary.text for upper-level undergraduate and graduatestudents in one-semester courses on ring or module theory-laying a foundation formore advanced study of homological algebra or module theory.

Author : Gary F. Birkenmeier,Jae Keol Park,S Tariq Rizvi
Publisher : Springer Science & Business Media
Page : 442 pages
File Size : 50,9 Mb
Release : 2013-07-19
Category : Mathematics
ISBN : 9780387927169

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Extensions of Rings and Modules by Gary F. Birkenmeier,Jae Keol Park,S Tariq Rizvi Pdf

The "extensions" of rings and modules have yet to be explored in detail in a research monograph. This book presents state of the art research and also stimulating new and further research. Broken into three parts, Part I begins with basic notions, terminology, definitions and a description of the classes of rings and modules. Part II considers the transference of conditions between a base ring or module and its extensions. And Part III utilizes the concept of a minimal essental extension with respect to a specific class (a hull). Mathematical interdisciplinary applications appear throughout. Major applications of the ring and module theory to Functional Analysis, especially C*-algebras, appear in Part III, make this book of interest to Algebra and Functional Analysis researchers. Notes and exercises at the end of every chapter, and open problems at the end of all three parts, lend this as an ideal textbook for graduate or advanced undergradate students.

Author : Golan
Publisher : CRC Press
Page : 298 pages
File Size : 47,9 Mb
Release : 1991-04-24
Category : Mathematics
ISBN : 082478555X

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Modules and the Structure of Rings by Golan Pdf

This book offers vital background information on methods for solving hard classification problems of algebraic structures. It explains how algebraists deal with the problem of the structure of modules over rings and how they make use of these structures to classify rings.

Author : Robert Wisbauer
Publisher : Routledge
Page : 606 pages
File Size : 44,5 Mb
Release : 2018-05-11
Category : Mathematics
ISBN : 9781351447355

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Foundations of Module and Ring Theory by Robert Wisbauer Pdf

This volume provides a comprehensive introduction to module theory and the related part of ring theory, including original results as well as the most recent work. It is a useful and stimulating study for those new to the subject as well as for researchers and serves as a reference volume. Starting form a basic understanding of linear algebra, the theory is presented and accompanied by complete proofs. For a module M, the smallest Grothendieck category containing it is denoted by o[M] and module theory is developed in this category. Developing the techniques in o[M] is no more complicated than in full module categories and the higher generality yields significant advantages: for example, module theory may be developed for rings without units and also for non-associative rings. Numerous exercises are included in this volume to give further insight into the topics covered and to draw attention to related results in the literature.

Author : Maurice Auslander,David Buchsbaum
Publisher : Courier Corporation
Page : 484 pages
File Size : 42,5 Mb
Release : 2014-06-18
Category : Mathematics
ISBN : 9780486490823

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Groups, Rings, Modules by Maurice Auslander,David Buchsbaum Pdf

This classic monograph is geared toward advanced undergraduates and graduate students. The treatment presupposes some familiarity with sets, groups, rings, and vector spaces. The four-part approach begins with examinations of sets and maps, monoids and groups, categories, and rings. The second part explores unique factorization domains, general module theory, semisimple rings and modules, and Artinian rings. Part three's topics include localization and tensor products, principal ideal domains, and applications of fundamental theorem. The fourth and final part covers algebraic field extensions and Dedekind domains. Exercises are provided at the end of each chapter. Dover (2014) republication of the edition originally published by Harper & Row Publishers, New York, 1974. See every Dover book in print at www.doverpublications.com

Author : Friedrich Kasch,Adolf Mader
Publisher : Springer Science & Business Media
Page : 154 pages
File Size : 48,5 Mb
Release : 2004-06-25
Category : Mathematics
ISBN : 3764371250

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Rings, Modules, and the Total by Friedrich Kasch,Adolf Mader Pdf

Accessible to anyone with a basic knowledge of ring and module theory A short introduction to torsion-free Abelian groups is included

Author : Paul E. Bland
Publisher : Walter de Gruyter
Page : 467 pages
File Size : 54,7 Mb
Release : 2011-02-01
Category : Mathematics
ISBN : 9783110250237

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Rings and Their Modules by Paul E. Bland Pdf

This book is an introduction to the theory of rings and modules that goes beyond what one normally obtains in a graduate course in abstract algebra. The theme of the text is the interplay between rings and modules. At times rings are investigated by considering given sets of conditions on the modules they admit and at other times rings of a certain type are considered to see what structure is forced on their modules. Standard topics in ring and module theory such as chain conditions on rings and modules, injective and projective modules and semisimple rings are included as well as subjects like category theory and homological algebra. The text also contains presentations on topics such as flat modules and coherent rings, injective envelopes, projective covers and perfect rings, reflexive modules and quasi-Frobenius rings, and graded rings and modules. The book is a self-contained volume written in a very systematic style: all proofs are clear and easy for the reader to understand and all arguments are based on materials contained in the book. A problem sets follow each section. It is assumed that the reader is familiar with concepts such as Zorn's lemma, commutative diagrams and ordinal and cardinal numbers. It is also assumed that the reader has a basic knowledge of rings and their homomorphisms. The text is suitable for graduate and PhD students who have chosen ring theory for their research subject.

Author : A. J. Berrick,M. E. Keating
Publisher : Cambridge University Press
Page : 286 pages
File Size : 52,5 Mb
Release : 2000-05
Category : Mathematics
ISBN : 0521632749

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An Introduction to Rings and Modules by A. J. Berrick,M. E. Keating Pdf

This is a concise 2000 introduction at graduate level to ring theory, module theory and number theory.

Author : Huanyin Chen
Publisher : World Scientific
Page : 680 pages
File Size : 55,6 Mb
Release : 2011
Category : Mathematics
ISBN : 9789814329729

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Rings Related to Stable Range Conditions by Huanyin Chen Pdf

This monograph is concerned with exchange rings in various conditions related to stable range. Diagonal reduction of regular matrices and cleanness of square matrices are also discussed. Readers will come across various topics: cancellation of modules, comparability of modules, cleanness, monoid theory, matrix theory, K-theory, topology, amongst others. This is a first-ever book that contains many of these topics considered under stable range conditions. It will be of great interest to researchers and graduate students involved in ring and module theories.

Author : Toma Albu,Gary F. Birkenmeier,Ali Erdogan
Publisher : Unknown
Page : 210 pages
File Size : 52,6 Mb
Release : 2011-04-28
Category : Electronic
ISBN : 3034600178

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Ring and Module Theory by Toma Albu,Gary F. Birkenmeier,Ali Erdogan Pdf

Author : Sergio R. López-Permouth,Dinh Van Huynh
Publisher : Springer Science & Business Media
Page : 345 pages
File Size : 40,9 Mb
Release : 2011-01-28
Category : Mathematics
ISBN : 9783034602860

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Advances in Ring Theory by Sergio R. López-Permouth,Dinh Van Huynh Pdf

This volume consists of refereed research and expository articles by both plenary and other speakers at the International Conference on Algebra and Applications held at Ohio University in June 2008, to honor S.K. Jain on his 70th birthday. The articles are on a wide variety of areas in classical ring theory and module theory, such as rings satisfying polynomial identities, rings of quotients, group rings, homological algebra, injectivity and its generalizations, etc. Included are also applications of ring theory to problems in coding theory and in linear algebra.