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math.CT2022
Hochschild Cohomology, Monoid Objects and Monoidal Categories
Magnus Hellstrøm-Finnsen
This paper expands further on a category theoretical formulation of Hochschild cohomology for monoid objects in monoidal categories enriched over abelian groups, which has been stu…
math.CT2016
Hochschild cohomology of ring objects in monoidal categories
Magnus Hellstrøm-Finnsen
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 cohomolo…