Abstract
AbstractWe consider a surjective morphism between commutative differential graded algebrasϕ: (∧V,d) → (B,d), whereVis finite dimensional, and (B,d) is a module over ∧Vvia the mappingϕ. We show that the Hochschild cohomologyHH*(∧V;B) can be computed in terms of the graded vector space of positiveϕ-derivations. Moreover, ifVis finite dimensional, thenHH*(∧V;B) contains a polynomial algebra.
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