具有一对零同态的Morita Context环(Ⅰ)

具有一对零同态的Morita Context环(Ⅰ)

王尧¹，², 任艳丽¹

1 南京晓庄学院数学系，南京 211100；　2　南开大学　数学科学学院，　天津　 300071

收稿日期:2005-06-16 修回日期:1900-01-01 出版日期:2006-05-26 发布日期:2006-05-26
通讯作者: 王尧

Morita Context Rings with a Pair of Zero Homomorphisms (Ⅰ)

WANG Yao¹,², REN Yan-li¹

1. Department of Mathematics, Nanjing Xiaozhuang College, Nanjing 211100, China;2. School of Mathematical Sciences, Nankai University, Tianjin 300071, China

Received:2005-06-16 Revised:1900-01-01 Online:2006-05-26 Published:2006-05-26
Contact: WANG Yao

摘要/Abstract

摘要： 设（A，B，V，W，ψ,）是一个Morita Context，且ψ与均为零同态，C=是相应的Morita Context环.用经典环论方法，得到了C与A,B之间的一些性质关系,同时推广了形式三角矩阵环的一些结果.

关键词: MoritaContext环, 正则环, 广义Hopf环, Clean环, 满足m折稳定秩条件的环

Abstract: Let (A,B,V,W,ψ,)be a Morita Context with ψ and both zero bimodule homomorphisms and C the corresponding Morita Context ring. We obtained some property relations between [WTHX]C[WTBX] and A,Bvia classical mathods in ring theory, and generalized some results on formal triangular matrix rings.

Key words: Morita Context ring, regular ring, generalized Hopfian ring, clean ring, ring satisfing m-fold stable range condition

中图分类号:

O153.3

王尧，, 任艳丽. 具有一对零同态的Morita Context环(Ⅰ)[J]. J4, 2006, 44(03): 318-324.

WANG Yao,REN Yan-li. Morita Context Rings with a Pair of Zero Homomorphisms (Ⅰ)[J]. J4, 2006, 44(03): 318-324.

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