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- W196334603 abstract "This paper consists of three results on Gorenstein defect categories: (1) we prove that the Gorenstein defect category $D^{b}_{defect}(A)$ of an artin algebra $A$ of finite ${rm CM}$-type is Karoubian, and also describe Gorenstein defect categories of a representation-finite algebra and an algebra with radical square zero; (2) we relate Gorenstein derived equivalences, relative stable equivalences and Gorenstein defect equivalences; (3) we prove that the big Gorenstein defect category of an algebra of finite CM-type is triangle-equivalent to the big singularity category of its relative Auslander algebra." @default.
- W196334603 created "2016-06-24" @default.
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- W196334603 date "2014-01-16" @default.
- W196334603 modified "2023-09-27" @default.
- W196334603 title "Three results on Gorenstein defect categories" @default.
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