Ring constructions and applications

書誌事項

Ring constructions and applications

Andrei V. Kelarev

(Series in algebra, v. 9)

World Scientific, c2002

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注記

Includes bibliographical references (p. 157-200) and index

内容説明・目次

内容説明

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.

目次

  • Preliminaries
  • Graded Rings
  • Examples of Ring Constructions
  • The Jacobson Radical
  • Groups of Units
  • Finiteness Conditions
  • Pl-Rings and Varieties
  • Gradings of Matrix Rings
  • Examples of Applications
  • Open Problems.

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詳細情報

  • NII書誌ID(NCID)
    BA5557475X
  • ISBN
    • 9810247451
  • LCCN
    2002277428
  • 出版国コード
    si
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    Singapore
  • ページ数/冊数
    xi, 205 p.
  • 大きさ
    23 cm
  • 分類
  • 件名
  • 親書誌ID
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