HOCHSCHILD (CO)HOMOLOGY DIMENSION
HOCHSCHILD (CO)HOMOLOGY DIMENSION
In 1989 Happel asked the question whether, for a finite-dimensional algebra A over an algebraically closed field k, gl.dim A < ∞ if and only if hch.dim A < ∞. Here, the Hochschild cohomology dimension of A is given by hch.dim A := inf{n ∞ N0 | dim HHi (A) …