On degenerations of Cohen-Macaulay modules

Yuji Yoshino

doi:10.1006/jabr.2001.8991

On degenerations of Cohen-Macaulay modules

Yuji Yoshino

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

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.

Original language	English
Pages (from-to)	272-290
Number of pages	19
Journal	Journal of Algebra
Volume	248
Issue number	1
DOIs	https://doi.org/10.1006/jabr.2001.8991
Publication status	Published - Feb 1 2002

Keywords

Auslander-Reiten quiver
Auslander-Reiten sequence
Cohen-Macaulay module
Degeneration

ASJC Scopus subject areas

Algebra and Number Theory

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10.1006/jabr.2001.8991

Cite this

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AB - 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.

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On degenerations of Cohen-Macaulay modules

Abstract

Keywords

ASJC Scopus subject areas

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