Groups, Rings and Group Rings

Groups, Rings and Group Rings

Author: A. Giambruno

Publisher: American Mathematical Soc.

Published: 2009

Total Pages: 283

ISBN-13: 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.


Groups, Rings and Group Rings

Groups, Rings and Group Rings

Author: Antonio Giambruno

Publisher: CRC Press

Published: 2006-01-20

Total Pages: 369

ISBN-13: 1420010964

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This book is a collection of research papers and surveys on algebra that were presented at the Conference on Groups, Rings, and Group Rings held in Ubatuba, Brazil. This text familiarizes researchers with the latest topics, techniques, and methodologies in several branches of contemporary algebra. With extensive coverage, it examines broad themes f


Groups, Rings, and Group Rings

Groups, Rings, and Group Rings

Author: A. Giambruno

Publisher: American Mathematical Soc.

Published: 2009-01-01

Total Pages: 283

ISBN-13: 0821858254

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"This volume represents the proceedings of the conference on Groups, Rings and Group Rings, held July 28-August 2, 2008, in Ubatuba, Brazil. Papers in this volume contain results in active research areas in the theory of groups, group rings and algebras (including noncommutative rings), polynomial identities, Lie algebras and superalgebras. In particular, topics such as growth functions on varieties, groups of units in group rings, representation theory of Lie algebras, Jordan, alternative and Leibniz algebras, graded identities, automorphisms of trees, and partial actions, are discussed."--Publisher's website.


An Introduction to Group Rings

An Introduction to Group Rings

Author: César Polcino Milies

Publisher: Springer Science & Business Media

Published: 2002-01-31

Total Pages: 394

ISBN-13: 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 Fields

Groups, Rings and Fields

Author: David A.R. Wallace

Publisher: Springer Science & Business Media

Published: 2012-12-06

Total Pages: 256

ISBN-13: 1447104250

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This is a basic introduction to modern algebra, providing a solid understanding of the axiomatic treatment of groups and then rings, aiming to promote a feeling for the evolutionary and historical development of the subject. It includes problems and fully worked solutions, enabling readers to master the subject rather than simply observing it.


A Guide to Groups, Rings, and Fields

A Guide to Groups, Rings, and Fields

Author: Fernando Q. Gouvêa

Publisher: MAA

Published: 2012

Total Pages: 329

ISBN-13: 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.


Visual Group Theory

Visual Group Theory

Author: Nathan Carter

Publisher: American Mathematical Soc.

Published: 2021-06-08

Total Pages: 295

ISBN-13: 1470464330

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Recipient of the Mathematical Association of America's Beckenbach Book Prize in 2012! Group theory is the branch of mathematics that studies symmetry, found in crystals, art, architecture, music and many other contexts, but its beauty is lost on students when it is taught in a technical style that is difficult to understand. Visual Group Theory assumes only a high school mathematics background and covers a typical undergraduate course in group theory from a thoroughly visual perspective. The more than 300 illustrations in Visual Group Theory bring groups, subgroups, homomorphisms, products, and quotients into clear view. Every topic and theorem is accompanied with a visual demonstration of its meaning and import, from the basics of groups and subgroups through advanced structural concepts such as semidirect products and Sylow theory.


Rings, Fields and Groups

Rings, Fields and Groups

Author: R. B. J. T. Allenby

Publisher: Butterworth-Heinemann

Published: 1991

Total Pages: 383

ISBN-13: 9780340544402

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Provides an introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses


Algebra: Chapter 0

Algebra: Chapter 0

Author: Paolo Aluffi

Publisher: American Mathematical Soc.

Published: 2021-11-09

Total Pages: 713

ISBN-13: 147046571X

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Algebra: Chapter 0 is a self-contained introduction to the main topics of algebra, suitable for a first sequence on the subject at the beginning graduate or upper undergraduate level. The primary distinguishing feature of the book, compared to standard textbooks in algebra, is the early introduction of categories, used as a unifying theme in the presentation of the main topics. A second feature consists of an emphasis on homological algebra: basic notions on complexes are presented as soon as modules have been introduced, and an extensive last chapter on homological algebra can form the basis for a follow-up introductory course on the subject. Approximately 1,000 exercises both provide adequate practice to consolidate the understanding of the main body of the text and offer the opportunity to explore many other topics, including applications to number theory and algebraic geometry. This will allow instructors to adapt the textbook to their specific choice of topics and provide the independent reader with a richer exposure to algebra. Many exercises include substantial hints, and navigation of the topics is facilitated by an extensive index and by hundreds of cross-references.


The Algebraic Structure of Group Rings

The Algebraic Structure of Group Rings

Author: Donald S. Passman

Publisher: Courier Corporation

Published: 2011-01-01

Total Pages: 754

ISBN-13: 0486482065

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"'Highly recommended' by the Bulletin of the London Mathematical Society, this book offers a comprehensive, self-contained treatment of group rings. The subject involves the intersection of two essentially different disciplines, group theory and ring theory. The Bulletin of the American Mathematical Society hailed this treatment as 'a majestic account,' proclaiming it "encyclopedic and lucid." 1985 edition"--