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“Classical” K-Theory

  • V. Srinivas
Chapter
  • 175 Downloads
Part of the Progress in Mathematics book series (PM, volume 90)

Abstract

Let R be an associative ring (with 1), and let P(R) denote the category of finitely generated projective R-modules. We define the Grothendieck group K0(R) to be the quotient .

Keywords

Commutative Ring Central Extension Projective Module Division Ring Free Abelian Group 
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Reference

  1. “Introduction to Algebraic K-theory”, Annals of Maths. Studies No.72, Princeton Univ. Press (1971))Google Scholar

Copyright information

© Springer Science+Business Media New York 1991

Authors and Affiliations

  • V. Srinivas
    • 1
  1. 1.School of MathematicsTata Institute of Fundamental ResearchBombayIndia

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