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

Henrik Granau Holm

doi:10.1007/s00009-015-0557-8

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

Henrik Granau Holm

Department of Mathematical Sciences

1 Citation (Scopus)

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.

Original language	English
Journal	Mediterranean Journal of Mathematics
Volume	13
Issue number	3
Pages (from-to)	885-898
ISSN	1660-5446
DOIs	https://doi.org/10.1007/s00009-015-0557-8
Publication status	Published - 1 Jun 2016

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title = "The Category of Maximal Cohen–Macaulay Modules as a Ring with Several Objects",

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.",

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AB - 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.

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DO - 10.1007/s00009-015-0557-8

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SP - 885

EP - 898

JO - Mediterranean Journal of Mathematics

JF - Mediterranean Journal of Mathematics

IS - 3

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

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