右(左)π-正则半群的等价条件  

The equivalent conditions of right(left)π-normal semigroup

作　　者：田振际[1] 李小路 TIAN Zhen-ji LI Xiao-lu(School of Science, Lanzhou Univ. of Teeh. , Lanzhou 730050, Chin)

机构地区：[1]兰州理工大学理学院,甘肃兰州730050

出　　处：《兰州理工大学学报》2017年第5期150-152,共3页Journal of Lanzhou University of Technology

基　　金：国家自然科学基金(11261030)

摘　　要：半群S称为右(左)π-正则半群,若S是π-正则的,且对任意的e,f∈ES,有efe=fe(efe=ef).给出右(左)π-正规半群的等价条件,并定义右(左)正规半群,右(左)完全正规半群的定义,给出它们的等价条件.Semigroup Sis called right（left）π-regular if Sisπ-regular and,for arbitrary e,f∈ES,efe=fe（efe=ef）is available.The equivalent conditions of the right（left）π-normal semigroup are given out,right（left）normal semigroup and right（left）completely normal semigroup are defined,and their equivalent conditions are given out.

关 键 词：右(左)π-正半群 正则半群 Π-正则半群 

分 类 号：O152.7[理学—数学]