Gorenstein-Projective Modules over Upper Triangular Matrix Artin Algebras
Keyword(s):
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 .
2012 ◽
Vol 11
(04)
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pp. 1250066
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2009 ◽
Vol 37
(12)
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pp. 4259-4268
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2020 ◽
Vol 48
(11)
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pp. 4932-4947
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2016 ◽
Vol 16
(08)
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pp. 1750146