Hochschild products and global non-abelian cohomology for algebras. Applications

A. L. Agore, G. Militaru

Let $A$ be a unital associative algebra over a field $k$, $E$ a vector space and $\pi :E\to A$ a surjective linear map with $V=\mathrm{Ker}(\pi )$. All algebra structures on $E$ such t…