Groups, Rings, Modules

Groups, Rings, Modules
Title Groups, Rings, Modules PDF eBook
Author Maurice Auslander
Publisher Courier Corporation
Pages 484
Release 2014-06-01
Genre Mathematics
ISBN 048679542X

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Classic monograph covers sets and maps, monoids and groups, unique factorization domains, localization and tensor products, applications of fundamental theorem, algebraic field extension, Dedekind domains, and much more. 1974 edition.

Groups, Rings And Modules With Applications

Groups, Rings And Modules With Applications
Title Groups, Rings And Modules With Applications PDF eBook
Author M.R. Adhikari
Publisher Universities Press
Pages 336
Release 2003
Genre Commutative rings
ISBN 9788173714290

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Rings, Modules, Algebras, and Abelian Groups

Rings, Modules, Algebras, and Abelian Groups
Title Rings, Modules, Algebras, and Abelian Groups PDF eBook
Author Alberto Facchini
Publisher CRC Press
Pages
Release 2018-09-18
Genre
ISBN 9781138401839

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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

A Guide to Groups, Rings, and Fields

A Guide to Groups, Rings, and Fields
Title A Guide to Groups, Rings, and Fields PDF eBook
Author Fernando Q. Gouvêa
Publisher MAA
Pages 329
Release 2012
Genre Mathematics
ISBN 0883853558

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Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.

Foundations of Module and Ring Theory

Foundations of Module and Ring Theory
Title Foundations of Module and Ring Theory PDF eBook
Author Robert Wisbauer
Publisher Routledge
Pages 622
Release 2018-05-11
Genre Mathematics
ISBN 1351447343

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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.

An Introduction to Group Rings

An Introduction to Group Rings
Title An Introduction to Group Rings PDF eBook
Author César Polcino Milies
Publisher Springer Science & Business Media
Pages 394
Release 2002-01-31
Genre Mathematics
ISBN 9781402002380

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to Group Rings by Cesar Polcino Milies Instituto de Matematica e Estatistica, Universidade de sao Paulo, sao Paulo, Brasil and Sudarshan K. Sehgal Department of Mathematical and Statistical Sciences, University of Alberta, Edmonton. Canada SPRINGER-SCIENCE+BUSINESS MEDIA, B.V. A c.I.P. Catalogue record for this book is available from the Library of Congress. ISBN 978-1-4020-0239-7 ISBN 978-94-010-0405-3 (eBook) DOI 10.1007/978-94-010-0405-3 Printed an acid-free paper AII Rights Reserved (c) 2002 Springer Science+Business Media Dordrecht Originally published by Kluwer Academic Publishers in 2002 Softcover reprint ofthe hardcover Ist edition 2002 No part of the material protected by this copyright notice may be reproduced or utilized in any form or by any means, electronic or mechanical, inc1uding photocopying, recording Of by any information storage and retrieval system, without written permis sion from the copyright owner. Contents Preface ix 1 Groups 1 1.1 Basic Concepts . . . . . . . . . . . . 1 1.2 Homomorphisms and Factor Groups 10 1.3 Abelian Groups . 18 1.4 Group Actions, p-groups and Sylow Subgroups 21 1.5 Solvable and Nilpotent Groups 27 1.6 FC Groups .

Groups, Rings and Group Rings

Groups, Rings and Group Rings
Title Groups, Rings and Group Rings PDF eBook
Author A. Giambruno
Publisher American Mathematical Soc.
Pages 283
Release 2009
Genre Mathematics
ISBN 0821847716

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Represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28 - August 2, 2008, in Ubatuba, Brazil. This title contains results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras.