Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras | Zendy

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Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras

Author(s) -

Dadi Asefa

Publication year - 2021

Publication title -

journal of mathematics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.252

H-Index - 13

eISSN - 2314-4785

pISSN - 2314-4629

DOI - 10.1155/2021/8127282

Subject(s) - mathematics , triangular matrix , algebra over a field , combinatorics , pure mathematics , invertible matrix

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 = A M B A 0 B . We also give a necessary and sufficient condition for all finitely generated Gorenstein-projective modules over Λ = A M B A 0 B .

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