Recollements and Hochschild theory

Details Recollements and Hochschild theory Recollements and Hochschild theory

2011-01-29

arxiv.org/abs/1101.5697v3

Mathematics

Rings and Algebras

24 pages

Scientific paper

Two constructions of recollements of derived categories of algebras are provided. Triangulated functors in recollements of derived categories of algebras and tensor product algebras are realized as derived functors of the same forms. These results are applied to observe the relations between recollements of derived categories of algebras and smoothness and Hochschild (co)homology of algebras.

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