On Krull and valuative dimension of tensor products of algebras

被引：0
作者：
Bouchiba, S [1 ]
机构：
[1] Univ Moulay Ismail, Fac Sci, Dept Math, Meknes 50000, Morocco
来源：
COMMUNICATIONS IN ALGEBRA | 2006年 / 34卷 / 07期
关键词：
AF-domain; Krull dimension; locally Jaffard ring; prime ideal; tensor product; valuative dimension;
D O I：
10.1080/00927870600550244
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
This article is concerned with the dimension theory of tensor products of algebras over a field k . In fact, we provide formulas for the Krull and valuative dimension of A circle times(k) B when A and B are k-algebras such that the polynomial ring A[n] is an AF-domain for some positive integer n . Also, we compute dim v (A circle times(k) B) in the case where A subset of B .
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页码：2357 / 2367
页数：11
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