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- W3151942781 abstract "Based on the theory of relative right derived functors, module-relative-Hochschild cohomology was introduced by Ardizzoni, Brzezin′ski and Menini when they studied the formal smoothness. In this paper, we introduce the module-relative-Hochschild homology using relative left derived functors, discuss the relations of Hochschild (co)homology, relative Hochschild (co)homology and module-relative-Hochschild (co)homology under stable equivalences of Morita type, and prove that module-relative-Hochschild homology and cohomology are invariants under stable equivalences of Morita type. As a consequence, we get a method of constructing formally smooth bimodules and separable bimodules, and give a new proof to the known fact that the stable equivalence of Morita type preservers the ordinary Hochschild (co)homology." @default.
- W3151942781 created "2021-04-13" @default.
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- W3151942781 date "2011-01-01" @default.
- W3151942781 modified "2023-09-26" @default.
- W3151942781 title "Module-relative-Hochschild (co)homology under stable equivalences of Morita type" @default.
- W3151942781 hasPublicationYear "2011" @default.
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