Generalized iterated maximal essential extensions of rings

被引：1
|
作者：
Andruszkiewicz, RR [1 ]
机构：
[1] Univ Bialystok, Inst Math, PL-15267 Bialystok, Poland
来源：
ALGEBRA COLLOQUIUM | 2003年 / 10卷 / 01期
关键词：
metaideal; accessible subring; essential subring; integral domain;
D O I：
10.1007/s100110300014
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A necessary and sufficient condition for the existence of GIME(A), the generalized iterated maximal essential extension of an associative ring A, is obtained provided that A is commutative. Some properties of GIME(A) are described, in particular, when A is semiprime or commutative. An example of a prime ring A having no GIME(A) is constructed.
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页码：109 / 120
页数：12
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