Tensor products of Cohen-Macaulay rings: Solution to a problem of Grothendieck

S. Bouchiba*, S. Kabbaj

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

27 Scopus citations

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 k. 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.

Original languageEnglish
Pages (from-to)65-73
Number of pages9
JournalJournal of Algebra
Volume252
Issue number1
DOIs
StatePublished - 1 Jun 2002
Externally publishedYes

ASJC Scopus subject areas

  • Algebra and Number Theory

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