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K′-Theory of a Local Ring of Finite Cohen-Macaulay Type

Published online by Cambridge University Press:  07 August 2013

Viraj Navkal
Viraj Navkal*
Affiliation:
Mathematics Department, UCLA, Los Angeles, CA 90095, USA, viraj@math.ucla.edu
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Abstract

We study the K′-theory of a CM Henselian local ring R of finite Cohen-Macaulay type. We first describe a long exact sequence involving the groups K′i(R) and the K-groups of certain other rings, including the Auslander algebra. By examining the terms and maps in the sequence, we obtain information about K′(R).

Keywords

algebraic K-theoryG-theoryAuslander-Reiten theoryfinite Cohen-Macaulay type19D5013D1516E20
Type
Research Article
Information
Journal of K-Theory , Volume 12 , Issue 3 , December 2013 , pp. 405 - 432
Copyright
Copyright © ISOPP 2013 

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