Examples of degenerations of Cohen-Macaulay modules

DOI10.1090/S0002-9939-2013-11523-6zbMath1284.13017arXiv1012.5346OpenAlexW1967927374MaRDI QIDQ2839298

Naoya Hiramatsu, Yuji Yoshino

Publication date: 5 July 2013

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1012.5346

zbMATH Keywords

Cohen-Macaulay moduledegenerationfinite representation typeAuslander-Reiten sequence

Mathematics Subject Classification ID

Cohen-Macaulay modules in associative algebras (16G50) Representation type (finite, tame, wild, etc.) of associative algebras (16G60) Auslander-Reiten sequences (almost split sequences) and Auslander-Reiten quivers (16G70) Cohen-Macaulay modules (13C14) Deformations and infinitesimal methods in commutative ring theory (13D10)

Related Items (5)

On the transitivity of degeneration of modules ⋮ Degenerations over \((A_{\infty})\)-singularities and construction of degenerations over commutative rings ⋮ Degenerations of graded Cohen-Macaulay modules ⋮ On the stable Hom relation and stable degenerations of Cohen-Macaulay modules ⋮ A topology on the set of isomorphism classes of maximal Cohen–Macaulay modules

Cites Work

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• On degenerations and extensions of finite dimensional modules
• Degenerations for representations of quivers with relations
• Degenerations for modules over representation-finite algebras

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