浙江大学学报(理学版)2009,Vol.36Issue(3):243-248,253,7.DOI:10.3785/j.issn.1008-9497.2009.03.001
极小拟内射模和强Kasch模
On minimal quasi-injective modules and strong Kasch modules
摘要
Abstract
Let R be a ring and M a right R-module.M is said to be minimal quasi-injective if every homomorphism from a simple submodule of M to M can be extended to an endomorphism of M.M is said to be strongly Kasch if every simple right R-module embeds in M.Some characterizations and properties of these two classes of modules are investigated.关键词
极小拟内射模/强Kasch模/半完全环/半局部环Key words
minimal quasi-injective module/strong Kasch module/semiperfect ring/semilocal ring分类
数理科学引用本文复制引用
朱占敏,张小向..极小拟内射模和强Kasch模[J].浙江大学学报(理学版),2009,36(3):243-248,253,7.基金项目
The NSFC of China (No.10571026) (No.10571026)
The Foundation of Graduate Creative Program of Jiangsu (xm04-10). (xm04-10)