Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras

Dadi Asefa and Francesca Tartarone

Journal of Mathematics, 2021, vol. 2021, 1-8

Abstract: Gorenstein-projective module is an important research topic in relative homological algebra, representation theory of algebras, triangulated categories, and algebraic geometry (especially in singularity theory). For a given algebra A, how to construct all the Gorenstein-projective A-modules is a fundamental problem in Gorenstein homological algebra. In this paper, we describe all complete projective resolutions over an upper triangular Artin algebra Λ=AMBA0B. We also give a necessary and sufficient condition for all finitely generated Gorenstein-projective modules over Λ=AMBA0B.

Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:8127282

DOI: 10.1155/2021/8127282

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