α-Limits of algebras

被引：1
|
作者：
Laradji, A [1 ]
机构：
[1] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia
来源：
COMMUNICATIONS IN ALGEBRA | 2001年 / 29卷 / 08期
关键词：
D O I：
10.1081/AGB-100105045
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this note we prove some universal algebraic properties of alpha -limits, and apply them to characterize a certain class of Sigma -pure injective rings. This will provide an answer to a generalized version of a problem of Jensen and Lenzing. Our results also yield a module-theoretic characterization of singular cardinals.
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页码：3635 / 3640
页数：6
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