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.
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页码：99 / 113
页数：15
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