Ring Theory - Proceedings Of The Biennial Ohio State-denison Conference 1992

Ring Theory - Proceedings Of The Biennial Ohio State-denison Conference 1992
Author: Surender K Jain
Publisher: World Scientific
Total Pages: 394
Release: 1993-09-30
Genre:
ISBN: 9814553123

This volume consists of a collection of invited papers on the theory of rings and modules, most of which were presented at the biennial Ohio State — Denison Conference, May 1992, in memory of Hans Zassenhaus. The topics of these papers represent many modern trends in Ring Theory. The wide variety of methodologies and techniques demonstrated will be valuable in particular to young researchers in the area. Covering a broad range, this book should appeal to a wide spectrum of researchers in algebra and number theory.

Trends in Ring Theory

Trends in Ring Theory
Author: Vlastimil Dlab
Publisher: American Mathematical Soc.
Total Pages: 284
Release: 1998
Genre: Rings (Algebra)
ISBN: 9780821808498

The Ring Theory Conference, held a the University of Miskolc, Hungary, successfully accomplished its two goals: to reflect contemporary trends in the subject area; and to offer a meeting place for a large number of Eastern European algebraists and their colleagues from around the world. Particular emphasis was placed on recent developments in the following four areas: representation theory, group algebras, PI algebras and general ring theory. This book presents 13 of the invited lectures.

Advances in Ring Theory

Advances in Ring Theory
Author: S.K. Jain
Publisher: Springer Science & Business Media
Total Pages: 330
Release: 2012-12-06
Genre: Mathematics
ISBN: 1461219787

Contemporary Ring Theory 2011 - Proceedings Of The Sixth China-japan-korea International Conference On Ring Theory

Contemporary Ring Theory 2011 - Proceedings Of The Sixth China-japan-korea International Conference On Ring Theory
Author: Jin Yong Kim
Publisher: World Scientific
Total Pages: 258
Release: 2012-04-26
Genre: Mathematics
ISBN: 9814397695

The study of noncommutative rings is a major area in modern algebra. The structure theory of noncommutative rings was originally concerned with three parts: The study of semi-simple rings; the study of radical rings; and the construction of rings with given radical and semi-simple factor rings. Recently, this has extended to many new parts: The zero-divisor theory, containing the study of coefficients of zero-dividing polynomials and the study of annihilators over noncommutative rings, that is related to the Köthe's conjecture; the study of nil rings and Jacobson rings; the study of applying ring-theoretic properties to modules; representation theory; the study of relations between algebraic and concepts of other branches (for example, analytic and topological), etc. Thus, noncommutative rings are ubiquitous in mathematics, and occur in numerous sciences.This volume consists of a collection of original articles refereed by world experts that was presented at the Sixth China-Japan-Korea International Conference on Ring Theory. These articles exhibit new ideas, tools and techniques needed for successful research and investigation in noncommutative ring theory, and show the trend of current research. It is a useful resource book for beginners and advanced experts in ring theory.

Theory Of Clean Rings And Matrices

Theory Of Clean Rings And Matrices
Author: Huanyin Chen
Publisher: World Scientific
Total Pages: 693
Release: 2022-08-30
Genre: Mathematics
ISBN: 9811260141

This is the first monograph devoted to clean ring and matrix theory. It aims to study a theory of expressing an element in a ring as the sum of some special ones, such as idempotents, units, nilpotents, tripotents, involutions, etc. A matrix over such rings is thereby expressed as the sum of some special matrices. Also another topics on the behaviors of topological properties and *-properties of such rings are investigated.The book is based on the results of various published papers, particularly, by the authors'. It is accessible for students familiar with general abstract algebra, while the topics are interesting for researchers in the field of ring, matrix and operator theory.

Rings and Nearrings

Rings and Nearrings
Author: Mikhail Chebotar
Publisher: Walter de Gruyter
Total Pages: 177
Release: 2011-12-22
Genre: Mathematics
ISBN: 3110912163

This volume consists of seven papers related in various matters to the research work of Kostia Beidar†, a distinguished ring theorist and professor of National Ching Kung University (NCKU). Written by leading experts in these areas, the papers also emphasize important applications to other fields of mathematics. Most papers are based on talks that were presented at the memorial conference which was held in March 2005 at NCKU.

Noncommutative Localization in Algebra and Topology

Noncommutative Localization in Algebra and Topology
Author: Andrew Ranicki
Publisher: Cambridge University Press
Total Pages: 332
Release: 2006-02-09
Genre: Mathematics
ISBN: 9780521681605

Noncommutative localization is a powerful algebraic technique for constructing new rings by inverting elements, matrices and more generally morphisms of modules. Originally conceived by algebraists (notably P. M. Cohn), it is now an important tool not only in pure algebra but also in the topology of non-simply-connected spaces, algebraic geometry and noncommutative geometry. This volume consists of 9 articles on noncommutative localization in algebra and topology by J. A. Beachy, P. M. Cohn, W. G. Dwyer, P. A. Linnell, A. Neeman, A. A. Ranicki, H. Reich, D. Sheiham and Z. Skoda. The articles include basic definitions, surveys, historical background and applications, as well as presenting new results. The book is an introduction to the subject, an account of the state of the art, and also provides many references for further material. It is suitable for graduate students and more advanced researchers in both algebra and topology.