Operations on the Secondary Hochschild Cohomology
Abstract
We show that the secondary Hochschild cohomology associated to a triple (A,B,) has several of the properties of the usual Hochschild cohomology. Among others, we prove the existence of the cup and Lie products, discuss the connection with extensions of B-algebras, and give a Hodge type decomposition of the secondary Hochschild cohomology.
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