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Tensor Products of Cohen-Macaulay Rings. Solution to a Problem of Grothendieck

S. Bouchiba·S. Kabbaj
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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.

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S. Bouchiba, S. Kabbaj. 2006-06-27. Tensor Products of Cohen-Macaulay Rings. Solution to a Problem of Grothendieck. https://arxiv.org/abs/math/0606692

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