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Recollements and Hochschild theory

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arxiv 1101.5697 v5 pith:T6TPMDY2 submitted 2011-01-29 math.RA math.KTmath.RT

classification math.RAmath.KTmath.RT
keywords algebrascategoriesderivedhochschildrecollementsappliedclarifycohomology
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It is shown that a recollement of derived categories of algebras induces those of tensor product algebras and opposite algebras respectively, which is applied to clarify the relations between recollements of derived categories of algebras and smoothness and Hochschild cohomology of algebras.

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