Tensor Products of Cohen-Macaulay Rings. Solution to a Problem of Grothendieck
Commutative Algebra
2007-05-23 v1 Algebraic Geometry
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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Cite
@article{arxiv.math/0606692,
title = {Tensor Products of Cohen-Macaulay Rings. Solution to a Problem of Grothendieck},
author = {S. Bouchiba and S. Kabbaj},
journal= {arXiv preprint arXiv:math/0606692},
year = {2007}
}
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8 pages