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 .

引用

页码：2357 / 2367

页数：11

共 19 条

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