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arxiv: 1101.5697 · v5 · pith:T6TPMDY2new · submitted 2011-01-29 · 🧮 math.RA · math.KT· math.RT

Recollements and Hochschild theory

classification 🧮 math.RA math.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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