Rings and Radicals

Rings and Radicals
Author: R. Wiegandt
Publisher: CRC Press
Total Pages: 276
Release: 1996-04-18
Genre: Mathematics
ISBN: 9780582292819

First published in 1996. Routledge is an imprint of Taylor & Francis, an informa company.

Radical Theory of Rings

Radical Theory of Rings
Author: J.W. Gardner
Publisher: CRC Press
Total Pages: 412
Release: 2003-11-19
Genre: Mathematics
ISBN: 9780203913352

Radical Theory of Rings distills the most noteworthy present-day theoretical topics, gives a unified account of the classical structure theorems for rings, and deepens understanding of key aspects of ring theory via ring and radical constructions. Assimilating radical theory's evolution in the decades since the last major work on rings and radicals was published, the authors deal with some distinctive features of the radical theory of nonassociative rings, associative rings with involution, and near-rings. Written in clear algebraic terms by globally acknowledged authorities, the presentation includes more than 500 landmark and up-to-date references providing direction for further research.

Theory of Radicals

Theory of Radicals
Author: L. Márki
Publisher: Elsevier
Total Pages: 311
Release: 2014-05-21
Genre: Mathematics
ISBN: 148329644X

Radicals arose originally from structural investigations in rings, but later on they infiltrated into various branches of algebra, as well as into topology and relational structures. This volume is the result of a conference attended by mathematicians from all five continents and thus represents the current state of research in the area.

Radicals in Rings

Radicals in Rings
Author: David Arnold Seagraves
Publisher:
Total Pages: 174
Release: 1969
Genre: Equations, Roots of
ISBN:

Radical Theory of Rings

Radical Theory of Rings
Author: J. W. Gardner
Publisher: CRC Press
Total Pages: 408
Release: 2019-09-27
Genre:
ISBN: 9780367394837

Radical Theory of Rings distills the most noteworthy present-day theoretical topics, gives a unified account of the classical structure theorems for rings, and deepens understanding of key aspects of ring theory via ring and radical constructions. Assimilating radical theory's evolution in the decades since the last major work on rings and radicals was published, the authors deal with some distinctive features of the radical theory of nonassociative rings, associative rings with involution, and near-rings. Written in clear algebraic terms by globally acknowledged authorities, the presentation includes more than 500 landmark and up-to-date references providing direction for further research.

The Jacobson Radical of Classical Rings

The Jacobson Radical of Classical Rings
Author: Gregory Karpilovsky
Publisher:
Total Pages: 592
Release: 1991
Genre: Algebra
ISBN:

This book aims to provide comprehensive coverage of the structure of the Jacobson radical of classical rings. Special attention is drawn to the discoveries concerning the Jacobson radical of graded rings. The main objective has been to present an accessible, self-contained and detailed coverage of the present state of the subject, so that the reader can find in one place all that is needed for a thorough understanding of the main results, along with concrete information on how the ideas are applied.

Rings, Modules and Codes

Rings, Modules and Codes
Author: André Leroy
Publisher: American Mathematical Soc.
Total Pages: 370
Release: 2019-04-12
Genre: Mathematics
ISBN: 1470441047

This book contains the proceedings of the Fifth International Conference on Noncommutative Rings and their Applications, held from June 12–15, 2017, at the University of Artois, Lens, France. The papers are related to noncommutative rings, covering topics such as: ring theory, with both the elementwise and more structural approaches developed; module theory with popular topics such as automorphism invariance, almost injectivity, ADS, and extending modules; and coding theory, both the theoretical aspects such as the extension theorem and the more applied ones such as Construction A or Reed–Muller codes. Classical topics like enveloping skewfields, weak Hopf algebras, and tropical algebras are also presented.