Radical Theory of Rings
Radical Theory of Rings

Author: J.W. Gardner

Publisher: CRC Press

Published: 2003-11-19

Total Pages: 412

ISBN-13: 9780203913352

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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.

Rings and Radicals
Rings and Radicals

Author: R. Wiegandt

Publisher: CRC Press

Published: 1996-04-18

Total Pages: 276

ISBN-13: 9780582292819

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

Theory of Radicals
Theory of Radicals

Author: L. Márki

Publisher: Elsevier

Published: 2014-05-21

Total Pages: 311

ISBN-13: 148329644X

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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.

Abstract Algebra and Solution by Radicals
Abstract Algebra and Solution by Radicals

Author: John Edward Maxfield

Publisher: Courier Corporation

Published: 2010-03-01

Total Pages: 228

ISBN-13: 0486477231

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The American Mathematical Monthly recommended this advanced undergraduate-level text for teacher education. It starts with groups, rings, fields, and polynomials and advances to Galois theory, radicals and roots of unity, and solution by radicals. Numerous examples, illustrations, commentaries, and exercises enhance the text, along with 13 appendices. 1971 edition.

The Radicals
The Radicals

Author: Ryan McIlvain

Publisher: Hogarth

Published: 2018

Total Pages: 290

ISBN-13: 0553417886

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"When Eli first meets Sam Westergard, he is dazzled by his new friend's charisma, energy, and determined passion. Both graduate students in New York City, the two young men bond over their idealism, their love of poetry, and their commitment to socialism, both in theory and in practice--this last taking the form of an organized protest against Soline, a giant energy company that has speculated away the jobs and savings of thousands. As an Occupy-like group begins to coalesce around him, Eli realizes that some of his fellow intellectuals are more deeply--and dangerously--devoted to the cause than others"--Amazon.com.

Ring Constructions and Applications
Ring Constructions and Applications

Author: Andrei V. Kelarev

Publisher: World Scientific

Published: 2002

Total Pages: 218

ISBN-13: 9812799729

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This book contains the definitions of several ring constructions used in various applications. The concept of a groupoid-graded ring includes many of these constructions as special cases and makes it possible to unify the exposition. Recent research results on groupoid-graded rings and more specialized constructions are presented. In addition, there is a chapter containing open problems currently considered in the literature. Ring Constructions and Applications can serve as an excellent introduction for graduate students to many ring constructions as well as to essential basic concepts of group, semigroup and ring theories used in proofs. Contents: Preliminaries; Graded Rings; Examples of Ring Constructions; The Jacobson Radical; Groups of Units; Finiteness Conditions; PI-Rings and Varieties; Gradings of Matrix Rings; Examples of Applications; Open Problems. Readership: Graduate students and researchers using ring constructions in their work.