書誌事項

Formal matrices

Piotr Krylov, Askar Tuganbaev

(Algebra and applications / managing editor, Alain Verschoren ; series editors, Christoph Schweigert ... [et al.], 23)

Springer, c2017

  • hbk.

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内容説明・目次

内容説明

This monograph is a comprehensive account of formal matrices, examining homological properties of modules over formal matrix rings and summarising the interplay between Morita contexts and K theory. While various special types of formal matrix rings have been studied for a long time from several points of view and appear in various textbooks, for instance to examine equivalences of module categories and to illustrate rings with one-sided non-symmetric properties, this particular class of rings has, so far, not been treated systematically. Exploring formal matrix rings of order 2 and introducing the notion of the determinant of a formal matrix over a commutative ring, this monograph further covers the Grothendieck and Whitehead groups of rings. Graduate students and researchers interested in ring theory, module theory and operator algebras will find this book particularly valuable. Containing numerous examples, Formal Matrices is a largely self-contained and accessible introduction to the topic, assuming a solid understanding of basic algebra.

目次

Introduction.- Construction of Formal Matrix Rings of Order 2.- Modules over Formal Matrix Rings.- Formal Matrix Rings over a Given Ring.- Grothendieck and Whitehead Groups of Formal Matrix Rings.

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関連文献: 1件中  1-1を表示

  • Algebra and applications

    managing editor, Alain Verschoren ; series editors, Christoph Schweigert ... [et al.]

    Springer

詳細情報

  • NII書誌ID(NCID)
    BB23684981
  • ISBN
    • 9783319539065
  • LCCN
    2017932631
  • 出版国コード
    sz
  • タイトル言語コード
    eng
  • 本文言語コード
    eng
  • 出版地
    [Cham]
  • ページ数/冊数
    viii, 156p.
  • 大きさ
    25 cm
  • 分類
  • 件名
  • 親書誌ID
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