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9789810247454

Ring Constructions and Applications

by
  • ISBN13:

    9789810247454

  • ISBN10:

    9810247451

  • Format: Hardcover
  • Copyright: 2002-01-01
  • Publisher: WORLD SCIENTIFIC PUB CO INC
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Supplemental Materials

What is included with this book?

Summary

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.

Table of Contents

Preface
Preliminariesp. 1
Graded Ringsp. 17
Examples of Ring Constructionsp. 25
The Jacobson Radicalp. 37
Groups of Unitsp. 73
Finiteness Conditionsp. 77
PI-Rings and Varietiesp. 107
Gradings of Matrix Ringsp. 111
Examples of Applicationsp. 133
Open Problemsp. 149
App. A: Glossary of Notationp. 153
Bibliographyp. 157
Indexp. 201
Table of Contents provided by Blackwell. All Rights Reserved.

Supplemental Materials

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