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Author : R. B. J. T. Allenby
Publisher : Butterworth-Heinemann
Page : 383 pages
File Size : 32,46 MB
Release : 1991
Category : Mathematics
ISBN : 9780340544402
Provides an introduction to the results, methods and ideas which are now commonly studied in abstract algebra courses
Author : Donald S. Passman
Publisher : Courier Corporation
Page : 754 pages
File Size : 34,27 MB
Release : 2011-01-01
Category : 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"--
Author : A. Giambruno
Publisher : American Mathematical Soc.
Page : 283 pages
File Size : 13,85 MB
Release : 2009
Category : 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.
Author : Shahriar Shahriari
Publisher :
Page : 675 pages
File Size : 40,58 MB
Release : 2017
Category : Algebra
ISBN : 9781470436612
This text—based on the author's popular courses at Pomona College—provides a readable, student-friendly, and somewhat sophisticated introduction to abstract algebra. It is aimed at sophomore or junior undergraduates who are seeing the material for the first time. In addition to the usual definitions and theorems, there is ample discussion to help students build intuition and learn how to think about the abstract concepts. The book has over 1300 exercises and mini-projects of varying degrees of difficulty, and, to facilitate active learning and self-study, hints and short answers for many of the problems are provided. There are full solutions to over 100 problems in order to augment the text and to model the writing of solutions. Lattice diagrams are used throughout to visually demonstrate results and proof techniques. The book covers groups, rings, and fields. In group theory, group actions are the unifying theme and are introduced early. Ring theory is motivated by what is needed for solving Diophantine equations, and, in field theory, Galois theory and the solvability of polynomials take center stage. In each area, the text goes deep enough to demonstrate the power of abstract thinking and to convince the reader that the subject is full of unexpected results.
Author : Alberto Facchini
Publisher : CRC Press
Page : 530 pages
File Size : 44,38 MB
Release : 2020-02-10
Category : Mathematics
ISBN : 9780824750817
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
Author : Maurice Auslander
Publisher : Courier Corporation
Page : 484 pages
File Size : 43,14 MB
Release : 2014-06-01
Category : Mathematics
ISBN : 048679542X
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.
Author : Fernando Q. Gouvêa
Publisher : American Mathematical Soc.
Page : 309 pages
File Size : 23,54 MB
Release : 2012-12-31
Category : Mathematics
ISBN : 1614442118
Insightful overview of many kinds of algebraic structures that are ubiquitous in mathematics. For researchers at graduate level and beyond.
Author : Marlow Anderson
Publisher : CRC Press
Page : 684 pages
File Size : 28,87 MB
Release : 2005-01-27
Category : Mathematics
ISBN : 1420057111
Most abstract algebra texts begin with groups, then proceed to rings and fields. While groups are the logically simplest of the structures, the motivation for studying groups can be somewhat lost on students approaching abstract algebra for the first time. To engage and motivate them, starting with something students know and abstracting from there
Author : David A.R. Wallace
Publisher : Springer Science & Business Media
Page : 256 pages
File Size : 14,91 MB
Release : 2012-12-06
Category : Mathematics
ISBN : 1447104250
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.
Author : César Polcino Milies
Publisher : Springer Science & Business Media
Page : 394 pages
File Size : 10,86 MB
Release : 2002-01-31
Category : 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 .