Stable equivalences of Morita type and stable Hochschild cohomology rings |
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| Authors: | Shengyong Pan Guodong Zhou |
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| Affiliation: | 1. Laboratory of Mathematics and Complex Systems, School of Mathematical Sciences, Beijing Normal University, Beijing, 100875, People’s Republic of China
2. Institut für Mathematik, Universit?t Paderborn, Warburger Str. 100, 33098, Paderborn, Germany
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| Abstract: | We prove that a stable equivalence of Morita type between finite dimensional algebras preserves the stable Hochschild cohomology rings, that is, Hochschild cohomology rings modulo the projective center, thus generalizing the results of Pogorzały and Xi. |
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