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Ring Constructions And Applications

By: Andrei V Kelarev

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Hardcover | 3 January 2002

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Hardcover
220 Pages

Dimensions(cm)
21.59 x 15.24 x 1.27

Hardcover

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This study 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. Research results on groupoid-graded rings and more specialized constructions are presented. In addition, there is a chapter containing open problems considered in the literature. The volume can be used as an introduction for graduate students to many ring constructions as well as to essential basic concepts of group, semigroup and ring theories used in proofs.

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Non-Fiction Mathematics Algebra Number Theory Applied Mathematics Booktopia Publisher Services World Scientific Publishing Medicine Medicine in General Groups & Group Theory

Preface
Preliminaries	p. 1
Graded Rings	p. 17
Examples of Ring Constructions	p. 25
The Jacobson Radical	p. 37
Groups of Units	p. 73
Finiteness Conditions	p. 77
PI-Rings and Varieties	p. 107
Gradings of Matrix Rings	p. 111
Examples of Applications	p. 133
Open Problems	p. 149
App. A: Glossary of Notation	p. 153
Bibliography	p. 157
Index	p. 201
Table of Contents provided by Blackwell. All Rights Reserved.

Ring Constructions And Applications

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Hardcover

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