Radical Theory Of Rings

Author : J.W. Gardner,R. Wiegandt
Publisher : CRC Press
Page : 412 pages
File Size : 52,7 Mb
Release : 2003-11-19
Category : Mathematics
ISBN : 0203913353

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Radical Theory of Rings by J.W. Gardner,R. Wiegandt Pdf

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.

Author : J. W. Gardner,R. Wiegandt
Publisher : CRC Press
Page : 408 pages
File Size : 42,7 Mb
Release : 2019-09-27
Category : Electronic
ISBN : 0367394839

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Radical Theory of Rings by J. W. Gardner,R. Wiegandt Pdf

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.

Author : L. Márki,R. Wiegandt
Publisher : Elsevier
Page : 310 pages
File Size : 40,6 Mb
Release : 2014-05-21
Category : Mathematics
ISBN : 9781483296449

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Theory of Radicals by L. Márki,R. Wiegandt Pdf

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.

Author : Richárd Wiegandt,University of Pretoria. Department of Mathematics
Publisher : Unknown
Page : 36 pages
File Size : 42,9 Mb
Release : 1983
Category : Electronic
ISBN : 0869795325

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Radical Theory of Rings by Richárd Wiegandt,University of Pretoria. Department of Mathematics Pdf

Author : R. Wiegandt,J.W. Gardner,Shao-Xue Liu
Publisher : CRC Press
Page : 276 pages
File Size : 42,5 Mb
Release : 1996-04-18
Category : Mathematics
ISBN : 0582292816

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Rings and Radicals by R. Wiegandt,J.W. Gardner,Shao-Xue Liu Pdf

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

Author : T.Y. Lam
Publisher : Springer Science & Business Media
Page : 299 pages
File Size : 43,6 Mb
Release : 2013-06-29
Category : Mathematics
ISBN : 9781475739879

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Exercises in Classical Ring Theory by T.Y. Lam Pdf

Based in large part on the comprehensive "First Course in Ring Theory" by the same author, this book provides a comprehensive set of problems and solutions in ring theory that will serve not only as a teaching aid to instructors using that book, but also for students, who will see how ring theory theorems are applied to solving ring-theoretic problems and how good proofs are written. The author demonstrates that problem-solving is a lively process: in "Comments" following many solutions he discusses what happens if a hypothesis is removed, whether the exercise can be further generalized, what would be a concrete example for the exercise, and so forth. The book is thus much more than a solution manual.

Author : László Márki,Richárd Wiegandt
Publisher : Elsevier Science & Technology
Page : 788 pages
File Size : 54,5 Mb
Release : 1985
Category : Radical theory
ISBN : UCAL:B4407353

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Radical Theory by László Márki,Richárd Wiegandt Pdf

Author : B. J. Gardner
Publisher : Longman
Page : 216 pages
File Size : 42,9 Mb
Release : 1989
Category : Associative rings
ISBN : UCSD:31822004184198

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Rings, Modules, and Radicals by B. J. Gardner Pdf

Author : Richárd Wiegandt
Publisher : Kingston, Ont. : Queen's University
Page : 258 pages
File Size : 44,7 Mb
Release : 1974
Category : Associative rings
ISBN : UVA:X001320623

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Radical and Semisimple Classes of Rings by Richárd Wiegandt Pdf

Author : T.Y. Lam
Publisher : Springer Science & Business Media
Page : 410 pages
File Size : 41,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781468404067

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A First Course in Noncommutative Rings by T.Y. Lam Pdf

One of my favorite graduate courses at Berkeley is Math 251, a one-semester course in ring theory offered to second-year level graduate students. I taught this course in the Fall of 1983, and more recently in the Spring of 1990, both times focusing on the theory of noncommutative rings. This book is an outgrowth of my lectures in these two courses, and is intended for use by instructors and graduate students in a similar one-semester course in basic ring theory. Ring theory is a subject of central importance in algebra. Historically, some of the major discoveries in ring theory have helped shape the course of development of modern abstract algebra. Today, ring theory is a fer tile meeting ground for group theory (group rings), representation theory (modules), functional analysis (operator algebras), Lie theory (enveloping algebras), algebraic geometry (finitely generated algebras, differential op erators, invariant theory), arithmetic (orders, Brauer groups), universal algebra (varieties of rings), and homological algebra (cohomology of rings, projective modules, Grothendieck and higher K-groups). In view of these basic connections between ring theory and other branches of mathemat ics, it is perhaps no exaggeration to say that a course in ring theory is an indispensable part of the education for any fledgling algebraist. The purpose of my lectures was to give a general introduction to the theory of rings, building on what the students have learned from a stan dard first-year graduate course in abstract algebra.

Author : Paul E. Bland
Publisher : Walter de Gruyter
Page : 467 pages
File Size : 53,8 Mb
Release : 2011
Category : Mathematics
ISBN : 9783110250220

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Rings and Their Modules by Paul E. Bland Pdf

This book is an introduction to the theory of rings and modules that goes beyond what one normally obtains in a graduate course in abstract algebra. In addition to the presentation of standard topics in ring and module theory, it also covers category theory, homological algebra and even more specialized topics like injective envelopes and proj

Author : N. J. Divinsky
Publisher : Toronto, U. P
Page : 184 pages
File Size : 48,8 Mb
Release : 1965
Category : Mathematics
ISBN : UCAL:B4407304

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Rings and Radicals by N. J. Divinsky Pdf

Author : Gregory Karpilovsky
Publisher : Unknown
Page : 592 pages
File Size : 51,6 Mb
Release : 1991
Category : Algebra
ISBN : UOM:39015022060308

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The Jacobson Radical of Classical Rings by Gregory Karpilovsky Pdf

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.

Author : Nathan Jacobson
Publisher : American Mathematical Soc.
Page : 160 pages
File Size : 46,6 Mb
Release : 1943-12-31
Category : Mathematics
ISBN : 9780821815021

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The Theory of Rings by Nathan Jacobson Pdf

The book is mainly concerned with the theory of rings in which both maximal and minimal conditions hold for ideals (except in the last chapter, where rings of the type of a maximal order in an algebra are considered). The central idea consists of representing rings as rings of endomorphisms of an additive group, which can be achieved by means of the regular representation.

Author : Mikhail Chebotar,Yuen Fong,Weng-Fong Ke,Pjek-Hwee Lee
Publisher : Walter de Gruyter
Page : 177 pages
File Size : 53,8 Mb
Release : 2011-12-22
Category : Mathematics
ISBN : 9783110912166

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Rings and Nearrings by Mikhail Chebotar,Yuen Fong,Weng-Fong Ke,Pjek-Hwee Lee Pdf

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.