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• W1574366393 abstract "Let A be a mild k-algebra over an algebraically closed field k, i.e. A is representation-finite or distributive of minimal representation-infinite type. Let S be a simple A-module of finite projective dimension. We establish the strong no loop conjecture for A, which claims that S has only split self-extensions, i.e. the quiver of A has no loop at the vertex corresponding to S. More generally we show that only a small neighborhood of the support of the projective cover of S has to be mild. Furthermore some reduction techniques are developed for the stronger no loop conjecture and the finitistic dimension conjecture." @default.
• W1574366393 created "2016-06-24" @default.
• W1574366393 creator A5012061180 @default.
• W1574366393 date "2018-01-22" @default.
• W1574366393 modified "2023-09-27" @default.
• W1574366393 title "On some homological conjectures for finite dimensional algebras" @default.
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• W1574366393 hasPublicationYear "2018" @default.
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