The Algebraic Structure of Group Rings
Title | The Algebraic Structure of Group Rings PDF eBook |
Author | Donald S. Passman |
Publisher | Courier Corporation |
Total Pages | 754 |
Release | 2011-01-01 |
Genre | Mathematics |
ISBN | 0486482065 |
"'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"--
The Algebraic Structure of Group Rings
Title | The Algebraic Structure of Group Rings PDF eBook |
Author | Donald S. Passman |
Publisher | |
Total Pages | 760 |
Release | 1985 |
Genre | Mathematics |
ISBN |
The Algebraic Structure of Group Rings
Title | The Algebraic Structure of Group Rings PDF eBook |
Author | Donald S. Passman |
Publisher | John Wiley & Sons |
Total Pages | 740 |
Release | 1977 |
Genre | Mathematics |
ISBN |
This book offers a coherent, reasonably complete account of the subject that would nevertheless be accessible to second-year graduate students in algebra. The first section is an introduction which examines trace maps, idempotents, and the augmentation ideal in detail. The second section focuses on rings, a wealth of material. The final section looks closely at Noetherian rings and drills down on all aspects of group ring manifestations.
Infinite Group Rings
Title | Infinite Group Rings PDF eBook |
Author | Donald S. Passman |
Publisher | |
Total Pages | 176 |
Release | 1971 |
Genre | Mathematics |
ISBN |
The algebraic study of group rings was initiated in 1949 by I. Kaplansky. The subject has been pursued by a small but growing number of researchers, and has reached a point in its development where a coherent account of the basic results is needed. That is the goal of this text. The topics covered are selective, with material balanced between ring theory and group theory, and a basic one year course in algebra should provide sufficient background for readers.
A Guide to Groups, Rings, and Fields
Title | A Guide to Groups, Rings, and Fields PDF eBook |
Author | Fernando Q. Gouvêa |
Publisher | American Mathematical Soc. |
Total Pages | 309 |
Release | 2012-12-31 |
Genre | Mathematics |
ISBN | 1614442118 |
Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.
An Introduction to Group Rings
Title | An Introduction to Group Rings PDF eBook |
Author | César Polcino Milies |
Publisher | Springer Science & Business Media |
Total Pages | 394 |
Release | 2002-01-31 |
Genre | Mathematics |
ISBN | 9781402002380 |
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
Title | Groups, Rings and Group Rings PDF eBook |
Author | A. Giambruno |
Publisher | American Mathematical Soc. |
Total Pages | 283 |
Release | 2009 |
Genre | Mathematics |
ISBN | 0821847716 |
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.