信阳师范学院学报（自然科学版）2012，Vol.25Issue(1)：5-8,4.DOI:10.3969/j.issn.1003-0972.2012.01.002
ML-环
On ML-Rings
摘要
Abstract
A ring R is called a left ML-ring if a or 1 - a is left morphic for every a∈R. Left morphic rings and local rings are left ML-rings but conversely is not true. Let /J, (I∈1) be rings. It is shown that Ⅱ I∈I Ri is a left ML-ring if and only if there exists io∈ I such that Rio is a left ML-ring and for each I∈I - {io} ,Ri is a left morphic ring. Moreover, if n≥2 and n = ⅡI I=1 P ri I is prime power decomposition of n, then Zn∝Z, is a left ML-ring if and only if ri > 1 for at most one value of I if and only if Zm is a VNL-ring. Some examples were also given.关键词
左ML-环/左Morphic环/正则性Key words
left ML-rings/left morphic rings/regularity分类
数理科学引用本文复制引用
张丽婷..ML-环[J].信阳师范学院学报（自然科学版）,2012,25(1):5-8,4.基金项目
浙江省新苗人才计划项目(2010R421051) （2010R421051）
