paper

Hochschild cohomology of ring objects in monoidal categories

arXiv:1605.00842 · doi:10.1080/00927872.2018.1461888

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.

arXiv comment36 pages