ON LIFTING OF IDEMPOTENTS AND SEMIREGULAR ENDOMORPHISM RINGS

被引：4

作者：

Lee, Tsiu-Kwen ^{[1
,2
]}

Zhou, Yiqiang ^{[3
]}

机构：

[1] Natl Taiwan Univ, Dept Math, Taipei 106, Taiwan

[2] Natl Ctr Theoret Sci, Taipei Off, Div Math, Hsinchu, Taiwan

[3] Mem Univ Newfoundland, Dept Math & Stat, St John, NF A1C 5S7, Canada

来源：

COLLOQUIUM MATHEMATICUM | 2011年 / 125卷 / 01期

基金：

加拿大自然科学与工程研究理事会;

关键词：

endomorphism ring; semiregular ring; (strong) lifting of idempotents; kernel-extending module; image-lifting module; MODULES;

D O I：

10.4064/cm125-1-7

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Starting with some observations on (strong) lifting of idempotents, we characterize a module whose endomorphism ring is semiregular with respect to the ideal of endomorphisms with small image. This is the dual of Yamagata's work [Colloq. Math. 113 (2008)] on a module whose endomorphism ring is semiregular with respect to the ideal of endomorphisms with large kernel.

引用

页码：99 / 113

页数：15

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