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

被引：22
作者：
Bouchiba, S [1 ]
Kabbaj, S
机构：
[1] Univ Moulay Ismail, Dept Math, Meknes 50000, Morocco
[2] Harvard Univ, Dept Math, Cambridge, MA 02138 USA
来源：
JOURNAL OF ALGEBRA | 2002年 / 252卷 / 01期
关键词：
D O I：
10.1016/S0021-8693(02)00019-4
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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. (C) 2002 Elsevier Science (USA). All fights reserved.
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页码：65 / 73
页数：9
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