Commutative rings with finite quotient fields

被引：0

作者：

Avilés, A ^{[1
]}

机构：

[1] Univ Murcia, Dept Math, E-30100 Murcia, Spain

来源：

COMMUNICATIONS IN ALGEBRA | 2005年 / 33卷 / 03期

关键词：

absolutely flat ring; CFG-ring; von Neumann regular ring;

D O I：

10.1081/AGB-200049882

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the class of all commutative reduced rings for which there exists a finite subset T subset of A such that all projections on quotients by prime ideals of A are surjective when restricted to T. A complete structure theorem is given for this class of rings, and it is studied its relation with other finiteness conditions an the quotients of a ring over its prime ideals.

引用

页码：727 / 736

页数：10

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