K'-Theory of a Local Ring of Finite Cohen-Macaulay Type
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).
- Publication:
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arXiv e-prints
- Pub Date:
- August 2011
- DOI:
- 10.48550/arXiv.1108.2000
- arXiv:
- arXiv:1108.2000
- Bibcode:
- 2011arXiv1108.2000N
- Keywords:
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- Mathematics - K-Theory and Homology;
- Mathematics - Commutative Algebra;
- Mathematics - Algebraic Geometry;
- 19D50;
- 13D15;
- 16E20
- E-Print:
- 20 pages