K-groups for rings of finite Cohen-Macaulay type
Commutative Algebra
2013-09-10 v2
Abstract
For a local Cohen-Macaulay ring R of finite CM-type, Yoshino has applied methods of Auslander and Reiten to compute the Grothendieck group of the category mod(R) of finitely generated R-modules. For the same type of rings we compute in this paper the first Quillen K-group of mod(R). We also describe the group homomorphism induced by the inclusion of proj(R) into mod(R) and illustrate our results with concrete examples.
Keywords
Cite
@article{arxiv.1211.3445,
title = {K-groups for rings of finite Cohen-Macaulay type},
author = {Henrik Holm},
journal= {arXiv preprint arXiv:1211.3445},
year = {2013}
}
Comments
28 pages