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.
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页码：727 / 736
页数：10
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