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Hochschild cohomology of ring objects in monoidal categories

Published 3 May 2016 in math.CT, math.AT, and math.KT | (1605.00842v1)

Abstract: We define the Hochschild complex and cohomology of a ring object in a monoidal category enriched over abelian groups. We interpret the cohomology groups and prove that the cohomology ring is graded-commutative.

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