E-反演半群上强正则同余的一些特征  

Some Characterizations of Strongly Regular Congruences on E-inversive Semigroups

作　　者：范兴奎[1,2] 陈倩华[1] 

机构地区：[1]青岛理工大学理学院,青岛山东266520 [2]兰州大学数学与统计学院,兰州甘肃730000

出　　处：《数学进展》2013年第4期483-490,共8页Advances in Mathematics（China）

基　　金：山东省自然科学基金(No.ZR2010AL010);山东省高等学校科技计划(No.J11LG07);青岛市科技计划基础研究(No.12-1-4-4-(6)-JCH)资助项目

摘　　要：探讨了E-反演半群S上强正则同余与其特征迹的关系,确定了具有相同特征迹的最小强正则同余.研究了E-反演半群S上强正则同余与其核的关系,借助于同余的核引入了强正则同余集合上的k-关系,确定了每一个k-类中的最大元素.同时也研究了强正则同余与其迹的关系.In this paper we investigate the relationship between the strongly regular con- gruence and its characteristic trace on E-inversive semigroups S. We establish the minimum strongly regular congruences on S with the same characteristic trace. We study the relationship between the strongly regular congruence and its kernel on an E-inversive semigroup S. The R-relation of strongly regular congruences on an E-inversive semigroup is introduced by means of the kernels of the strongly regular congruences. The greatest elements in each κ-class are established. We Mso study the connections between the strongly regular congruences and its trace on an E-inversive semigroup.

关 键 词：E-反演半群 强正则同余 特征迹 迹 核 

分 类 号：O152.7[理学—数学]