Tensor Products of Cohen-Macaulay Rings. Solution to a Problem of Grothendieck
arXiv:math/0606692
Abstract
In this paper we solve a problem, originally raised by Grothendieck, on the transfer of Cohen-Macaulayness to tensor products of algebras over a field. As a prelude to this, we investigate the grade for some specific types of ideals that play a primordial role within the ideal structure of such constructions.
8 pages