A Lower-Bound on the Hochschild Cohomological Dimension
arXiv:1609.09384 · doi:10.3390/math9030251
Abstract
A concrete lower-bound for the Hochschild cohomological dimension of a commutative -algebra, in terms of three other homological invariants is obtained. This result is then used to show that most -algebras fail to be quasi-free, even if they are smooth. This result generalizes a result of \cite{cuntz1995algebra} to the case where the base-ring is no longer $\cc$ but can be any commutative ring with unity.
22 Pages