An Uncountably Infinite Number of Indecomposable Totally Reflexive Modules

DOI10.1017/S0027763000025836zbMath1129.13013arXivmath/0607317OpenAlexW1820614203MaRDI QIDQ5440809

Ryo Takahashi

Publication date: 5 February 2008

Published in: Nagoya Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607317

Mathematics Subject Classification ID

Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Special types (Cohen-Macaulay, Gorenstein, Buchsbaum, etc.) (13H10) Homological functors on modules of commutative rings (Tor, Ext, etc.) (13D07) Cohen-Macaulay modules (13C14)

Related Items (2)

On G-Regular Local Rings ⋮ Maximal Cohen-Macaulay modules that are not locally free on the punctured spectrum

Cites Work

• Baire's category theorem and prime avoidance in complete local rings
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• On the category of modules of Gorenstein dimension zero. II
• On the category of modules of Gorenstein dimension zero
• ABSOLUTE, RELATIVE, AND TATE COHOMOLOGY OF MODULES OF FINITE GORENSTEIN DIMENSION
• Local rings of countable Cohen-Macaulay type
• On the number of indecomposable totally reflexive modules

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