强拟-Clean环  

Strongly Quasi-Clean Rings

作　　者：王丹[1] 王尧[2] 

机构地区：[1]辽宁师范大学数学系,辽宁大连116029 [2]南京晓庄学院数学系,江苏南京210017

出　　处：《南京晓庄学院学报》2007年第3期11-13,共3页Journal of Nanjing Xiaozhuang University

摘　　要：王尧,刘苏提出了拟-C lean环的概念.本文定义强拟-C lean环,使用通常环论方法证明强拟-C lean环的同态象、直积、对角矩阵仍是强拟-C lean环,讨论强正则环、强π-正则环与强拟-C lean环之间的关系.WANG Yao and LIU Su have proposed the concept of Quasi-Clean rings. In this paper, we define Strongly Quasi-Clean rings, use the general method in ring theory to prove that the image of homomorphism, direct product, diagonal matrix of Strongly Quasi-Clean rings are also Strongly Quasi-Clean rings. We also study the relationship among the Strongly regular rings, Strongly π-regular rings and Strongly Quasi-Clean rings.

关 键 词：强拟-Clean环 强正则环 强π-正则环 

分 类 号：O153.3[理学—数学]