A Classification Of Modules Over Discrete Valuation Rings

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Modules Over Discrete Valuation Rings

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Author : Piotr A. Krylov
language : en
Publisher: Walter de Gruyter GmbH & Co KG
Release Date : 2018-09-24

Modules Over Discrete Valuation Rings written by Piotr A. Krylov and has been published by Walter de Gruyter GmbH & Co KG this book supported file pdf, txt, epub, kindle and other format this book has been release on 2018-09-24 with Mathematics categories.

This book provides the first systematic treatment of modules over discrete valuation domains, which play an important role in various areas of algebra, especially in commutative algebra. Many important results representing the state of the art are presented in the text along with interesting open problems. This updated edition presents new approaches on p-adic integers and modules, and on the determinability of a module by its automorphism group. Contents Preliminaries Basic facts Endomorphism rings of divisible and complete modules Representation of rings by endomorphism rings Torsion-free modules Mixed modules Determinity of modules by their endomorphism rings Modules with many endomorphisms or automorphisms

Modules Over Discrete Valuation Domains

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Author : Piotr A. Krylov
language : en
Publisher: Walter de Gruyter
Release Date : 2008

Modules Over Discrete Valuation Domains written by Piotr A. Krylov and has been published by Walter de Gruyter this book supported file pdf, txt, epub, kindle and other format this book has been release on 2008 with Mathematics categories.

"In this book, modules over a specific class of rings, the discrete valuations domains, are considered. Such modules call for a special consideration, since they have specific properties and play an important role in various areas of algebra, especially of commutative algebra. The text is accompanied by exercises, historical remarks, links to related fields and open problems. It is useful for students, graduates studying algebra, young researchers, and experts."--BOOK JACKET.

A Classification Of Modules Over Discrete Valuation Rings

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Author : Sharon Cutler Ross
language : en
Publisher:
Release Date : 1976

A Classification Of Modules Over Discrete Valuation Rings written by Sharon Cutler Ross and has been published by this book supported file pdf, txt, epub, kindle and other format this book has been release on 1976 with Modules (Algebra) categories.

Abelian Groups And Noncommutative Rings A Collection Of Papers In Memory Of Robert B Warfield Jr

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Author : László Fuchs
language : en
Publisher: American Mathematical Soc.
Release Date : 1992

Abelian Groups And Noncommutative Rings A Collection Of Papers In Memory Of Robert B Warfield Jr written by László Fuchs and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 1992 with Mathematics categories.

This collection of research papers is dedicated to the memory of the distinguished algebraist Robert B. Warfield, Jr. Focusing on abelian group theory and noncommutative ring theory, the book covers a wide range of topics reflecting Warfield's interests and includes two articles surveying his contributions to mathematics. Because the articles have been refereed to high standards and will not appear elsewhere, this volume is indispensable to any researcher in noncommutative ring theory or abelian group theory. With papers by some of the major leaders in the field, this book will also be important to anyone interested in these areas, as it provides an overview of current research directions.

Abelian Group Theory

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Author : D. Arnold
language : en
Publisher: Springer
Release Date : 2006-11-15

Abelian Group Theory written by D. Arnold and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2006-11-15 with Mathematics categories.

Spectral Theory Of Random Matrices

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Author : Vyacheslav L. Girko
language : en
Publisher: Academic Press
Release Date : 2016-08-23

Spectral Theory Of Random Matrices written by Vyacheslav L. Girko and has been published by Academic Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2016-08-23 with Computers categories.

Spectral Theory of Random Matrices

Abelian Groups Rings And Modules

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Author : Andrei V. Kelarev
language : en
Publisher: American Mathematical Soc.
Release Date : 2001

Abelian Groups Rings And Modules written by Andrei V. Kelarev and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2001 with Mathematics categories.

This volume presents the proceedings from the conference on Abelian Groups, Rings, and Modules (AGRAM) held at the University of Western Australia (Perth). Included are articles based on talks given at the conference, as well as a few specially invited papers. The proceedings were dedicated to Professor László Fuchs. The book includes a tribute and a review of his work by his long-time collaborator, Professor Luigi Salce. Four surveys from leading experts follow Professor Salce's article. They present recent results from active research areas

Formal Groups And Applications

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Author : Michiel Hazewinkel
language : en
Publisher: American Mathematical Soc.
Release Date : 2012

Formal Groups And Applications written by Michiel Hazewinkel and has been published by American Mathematical Soc. this book supported file pdf, txt, epub, kindle and other format this book has been release on 2012 with Mathematics categories.

This book is a comprehensive treatment of the theory of formal groups and its numerous applications in several areas of mathematics. The seven chapters of the book present basics and main results of the theory, as well as very important applications in algebraic topology, number theory, and algebraic geometry. Each chapter ends with several pages of historical and bibliographic summary. One prerequisite for reading the book is an introductory graduate algebra course, including certain familiarity with category theory.

Abelian Group Theory

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Author : R. Göbel
language : en
Publisher: Springer
Release Date : 2013-11-11

Abelian Group Theory written by R. Göbel and has been published by Springer this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-11-11 with Science categories.

A conference on Abelian Group Theory was held at the Manoa Campus of the University of Hawaii from December 28, 1982 to January 4, 1983. It was probably the best attended conference on Abelian Group Theory to date with 55 participants from allover the world and the busiest one with 49 talks. A special feature were general interest lectures by Hyman Bass, Columbia University, on "Non-linear Algebra", and by Claus Michael Ringel, Uni versiUit Bielefeld, on "Representations of Algebras". The Conference offered surveys by Laszlo Fuchs, Tulane University, on "Torsion Modules over Valuation Rings", Fred Richman, New Mexico State University, on "Mixed Groups", Paul Eklof, University of California at Irvine, on "Set Theory and Structure Theorems", Rudiger Gobel, Un:i:versitat Essen on "Endomorphism Rings", and Lee Lady, University of Hawaii, on "Torsion Free Groups of Finite Rank". The research reports attested to lively activity in the traditional and in new areas of inquiry within and around Abelian Group Theory. The best represented groups were those of finite rank without torsion, a field employing increasingly sophisticated tools from ring theory and algebraic number theory. The use of set theoretic methods continues to flourish after the pioneering work of Saharon Shelah in the 1970s, and is delivering impressive results. This volume contains the papers of the participants df the C- ferencean6 a number of additional articles of others who could not or did not corne.

Algebras Rings And Modules Volume 2

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Author : Michiel Hazewinkel
language : en
Publisher: CRC Press
Release Date : 2017-04-11

Algebras Rings And Modules Volume 2 written by Michiel Hazewinkel and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-04-11 with Mathematics categories.

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 century. This is the second volume of Algebras, Rings and Modules: Non-commutative Algebras and Rings by M. Hazewinkel and N. Gubarenis, a continuation stressing the more important recent results on advanced topics of the structural theory of associative algebras, rings and modules.