强f-clean环  

Strongly F-Clean Rings

作　　者：刘丽[1] 任艳丽[2] 

机构地区：[1]辽宁师范大学数学学院,辽宁大连116029 [2]南京晓庄学院数学与信息技术学院,江苏南京210017

出　　处：《南京晓庄学院学报》2011年第3期11-14,共4页Journal of Nanjing Xiaozhuang University

基　　金：江苏省"青蓝工程"中青年学术带头人基金

摘　　要：文章引进强f-clean环的概念,证明强f-clean环的同态象、直积、对角矩阵仍是强f-clean环,讨论强f-clean环与强正则环、强clean环之间的关系.In this paper,the concept of strongly f-clean rings is introduced,and it is proved that the image of homomorphism,direct produce,diagonal matrix of strongly f-clean rings are also strongly f-clean rings.The relationships among the strongly f-clean rings,strongly regular rings and strongly clean rings are also studied.

关 键 词：强f-clean环 强正则环 强clean环 

分 类 号：O153.3[理学—数学]