左Clifford双半环的性质与结构  

The property and structure of left Clifford bi-semirings

作　　者：魏孟君 李刚 WEI Meng-jun;LI Gang(School of Mathematics and Statistics,Shandong Normal University,Jinan 250358,Shandong,China)

机构地区：[1]山东师范大学数学与统计学院,山东济南250358

出　　处：《山东大学学报（理学版）》2021年第8期45-48,共4页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(11601288)。

摘　　要：定义了双半环的分配格和带双半环。利用这两个定义以及左Clifford半群的性质,给出了左双环和左Clifford双半环的定义,并得到了双半环是左双环的充分必要条件和双半环是左Clifford双半环的充分必要条件。The distributive lattice of bi-semirings and band bi-semirings are defined.Using these two definitions and the properties of the left Clifford semigroup,the definitions of the left bi-ring and the left Clifford bi-semiring are given.The necessary and sufficient conditions for a bi-semiring to be a left bi-ring and a bi-semiring to be a left Clifford bi-semiring are obtained.

关 键 词：带双半环 左双环 左Clifford双半环 分配格同余 

分 类 号：O152.7[理学—数学]