摘要
设R为环,MR是拟AP-内射模,S=End(MR), N(S)表示S的幂零元之集。研究了满足升链条件的环S的强正则性和半单性以及与一些特殊环的关系。
Let R be a ring,MR be a quasi AP-injective module,S=End(MR),N(S) be a set of nilpotents of S.Suppose that S satisfying the special ascending chain conditions,the strong regularity and the semisimplicity of S are investigated and the relationship between S and some special rings is obtained.
出处
《山东大学学报(理学版)》
CAS
CSCD
北大核心
2010年第6期31-34,共4页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(10871106
10901002)
安徽省教育厅自然科学研究重点项目(KJ2008A026)
关键词
拟AP-内射模
特殊的升链条件
强正则环
半单环
半阿贝尔环
quasi AP-injective modules
special ascending chain condition
strongly regular rings
semisimple rings
semiabelian rings