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On Degenerations of Cohen–Macaulay Modules

✍ Scribed by Yuji Yoshino

Publisher: Elsevier Science
Year: 2002
Tongue: English
Weight: 150 KB
Volume: 248
Category: Article
ISSN: 0021-8693
DOI: 10.1006/jabr.2001.8991

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✦ Synopsis

In relation to degenerations of modules, we introduce several partial orders on the set of isomorphism classes of finitely generated modules over a noetherian commutative local ring. Our main theorem says that, under several special conditions, any degenerations of maximal Cohen-Macaulay modules are essentially obtained by the degenerations of Auslander-Reiten sequences.  2002 Elsevier Science (USA)

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