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Hochschild Cohomology and Derived Categories

Alin Adrian Stancu

出版	State University of New York at Buffalo, 2006
URL	http://books.google.com.hk/books?id=cgrujwEACAAJ&hl=&source=gbs_api

註釋

A relative derived category for the category of modules over a presheaf of algebras is constructed to identify its morphism groups with the relative Yoneda and Hochschild cohomologies. The properties of a functor between this category and the relative derived category of modules over the algebra associated to the presheaf are studied. We obtain a generalization, for presheaves, of the Cohomology Comparison Theorem due to Murray Gerstenhaber and Samuel D. Schack.