2015/01/21 by Naoya Hiramatsu, Hiramatsu, Naoya
Mathematics · Physics and Astronomy · #13D10 #16W50 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Nonlinear Waves and Solitons
paper · pdf · doi:10.48550/arxiv.1501.05027
openalex publication_date 2015/01/21 · openalex created_date 2017/10/06 · openalex updated_date 2026/07/28
We study the stable hom relation for Cohen-Macaulay modules over Gorenstein local algebras. We give the sufficient condition to make the stable hom relation a partial order when the base algebra is of finite representation type. As an application, we give the description of stable degenerations of Cohen-Macaulay modules over simple singularities of several types by using the stable hom relation.