The Category of Maximal Cohen–Macaulay Modules as a Ring with Several Objects

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Abstract

Over a commutative local Cohen–Macaulay ring, we view and study the category of maximal Cohen–Macaulay modules as a ring with several objects. We compute the global dimension of this category and thereby extend some results of Iyama and Leuschke.

OriginalsprogEngelsk
TidsskriftMediterranean Journal of Mathematics
Vol/bind13
Udgave nummer3
Sider (fra-til)885-898
ISSN1660-5446
DOI
StatusUdgivet - 1 jun. 2016

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