Seidenberg's inequalities for tensor products of algebras

被引：2

作者：

Bouchiba, S ^{[1
]}

机构：

[1] Univ Moulay Ismail, Dept Math, Meknes 50000, Thailand

来源：

COMMUNICATIONS IN ALGEBRA | 2005年 / 33卷 / 07期

关键词：

AF-domain; Krull dimension; polynomial ring; pullbacks; tensor product; transcendence degree;

D O I：

10.1081/AGB-200063525

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

This paper is concerned with the study of the Krull dimension of tensor products of algebras over afield k. More precisely, we seek satisfactory analogues of Seidenberg's inequalities of polynomial rings for tensor products of k-algebras. As an application, we supply a new range of k-algehras A and B for which the Krull dimension of A circle times(k) B may he computed.

引用

页码：2147 / 2156

页数：10

共 22 条

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