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

Details K'-Theory of a Local Ring of Finite Cohen-Macaulay Type K'-Theory of a Local Ring of Finite Cohen-Macaulay Type

2011-08-09

arxiv.org/abs/1108.2000v1

Mathematics

K-Theory and Homology

9 pages

Scientific paper

We study the $K'$-theory of a CM Henselian local ring $R$ of finite
Cohen-Macaulay type. In our main theorem we produce a long exact sequence
involving the groups $K_i'(R)$ and the $K$-groups of the endomorphism rings of
the indecomposable maximal Cohen-Macaulay $R$-modules, along with their residue
rings.

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