Constructions of stable equivalences of Morita type for finite dimensional algebras II |
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Authors: | Yuming?Liu Email author" target="_blank">Changchang?XiEmail author |
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Institution: | (1) School of Mathematical Sciences, Beijing Normal University, 100875 Beijing, People’s Republic of China |
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Abstract: | Suppose k is a field. Let A and B be two finite dimensional k-algebras such that there is a stable equivalence of Morita type between A and B. In this paper, we prove that (1) if A and B are representation-finite then their Auslander algebras are stably equivalent of Morita type; (2) The n-th Hochschild homology groups of A and B are isomorphic for all n≥1. A new proof is also provided for Hochschild cohomology groups of self-injective algebras under a stable equivalence of Morita type. |
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Keywords: | 16G10 16E30 16G70 18G05 20J05 |
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