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Summands of Stable Equivalences of Morita Type
Authors:Yuming Liu
Institution:1. School of Mathematical Sciences , Beijing Normal University , Beijing, China yliu@math.uni-koeln.de
Abstract:A stable equivalence of Morita type between two finite dimensional algebras with no separable summand will be shown to restrict to stable equivalences of Morita type between their summands. We will apply this to prove that stable equivalence of Morita type preserves self-injectivity of algebras and the property of being symmetric.
Keywords:Algebra summand  Stable equivalence of Morita type
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