R-左可消幺半群上的正规Rees矩阵半群  

NormalRees Matrix Semigroups over R-left Cancellative Monoid

作　　者：刘皖平 李慧明[1] 

机构地区：[1]上海理工大学理学院,上海200093

出　　处：《上海理工大学学报》2013年第6期536-540,共5页Journal of University of Shanghai For Science and Technology

摘　　要：应用R-左可消幺半群的概念,推广零群上的Rees矩阵半群和广义Rees矩阵半群,引进R-左可消幺半群上正规Rees矩阵半群.讨论R-左可消幺半群上正规Rees矩阵半群的性质与结构特征,证明这类矩阵半群是本原可分wrpp半群,也是完全O-J^(**)-单wrpp半群.这些结果部分推广了幺半群、可消幺半群及左可消幺半群上Rees矩阵半群的性质和结构的相应结论.The Rees matrix semigroups over 0-group and generalized Rees matrix semigroups were developed by appling the concept of R-left cancellative monoid.The normal Rees matrix semigroups over R-left cancellative monoid was introduced.Its nature and structure were discussed and it is provd that the normal Rees matrix semigroup over R-left cancellative monoid is primitively decomposable wrpp semigroup,and is also completely 0-J＊＊-simple wrpp semigroup.These results partly extend the conclusion about the nature and structure of Rees matrix semigroups over monoids,cancellative monoids and left cancellative semigroups.

关 键 词：(正规)Rees矩阵半群 R-左可消幺半群 本原左可分wrpp半群 完全0-J＊＊-单wrpp半群 

分 类 号：O152.7[理学—数学]