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.

引用

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页码：3635 / 3640

页数：6

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