拟AP-内射模的自同态环

J4 ›› 2010, Vol. 45 ›› Issue (6): 31-34.

拟AP-内射模的自同态环

殷晓斌¹,黄晓林¹,汪开云²

1.安徽师范大学数学与计算机科学学院, 安徽芜湖 241000;
2. 陕西师范大学数学与信息科学学院, 陕西西安 710062

收稿日期:2009-07-10 出版日期:2010-06-16 发布日期:2010-06-17
作者简介:殷晓斌(1972-),男,博士,副教授,研究方向为代数学. Email:xbyinzh@gmail.com
基金资助:
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)

Endomorphism rings of quasi AP-injective modules

YIN Xiao-bin¹, HUANG Xiao-lin¹, WANG Kai-yun²

1. College of Mathematics and Computer Science, Anhui Normal University, Wuhu, 241000, Anhui China;
2. College of Mathematics and Information Science, Shaanxi Normal University, Xi'an, 710062, Shaanxi，China

Received:2009-07-10 Online:2010-06-16 Published:2010-06-17

摘要/Abstract

摘要：

设R为环,MR是拟AP-内射模,S=End(M_R), 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。

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

Abstract:

Let R be a ring, M_R be a quasi AP-injective module, S=End(M_R), N(S) be a set of nilpotents of S. Suppose that S satisfing the special ascending chain conditions, the strong regularity and the semisimplicity of S are investigated, the realationship between S and some special rings are obtained.

Key words: quasi AP-injective modules; special ascending chain condition; strongly regular rings; semisimple rings; semiabelian rings

殷晓斌1,黄晓林1,汪开云2. 拟AP-内射模的自同态环[J]. J4, 2010, 45(6): 31-34.

YIN Xiao-bin1, HUANG Xiao-lin1, WANG Kai-yun2. Endomorphism rings of quasi AP-injective modules[J]. J4, 2010, 45(6): 31-34.

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