矩形Clifford半环的性质与结构  

The property and structure of rectangular Clifford semiring

作　　者：张娟娟[1] 李映辉[2] 赵宪钟[1] 

机构地区：[1]西北大学数学系 [2]昆明学院初教二系,云南昆明650202

出　　处：《云南大学学报（自然科学版）》2008年第4期338-343,共6页Journal of Yunnan University(Natural Sciences Edition)

基　　金：国家自然科学基金资助项目(10471112);陕西省自然科学基础研究计划资助项目(2005A15)

摘　　要：利用带半环的概念,将左环与左Clifford半环进行推广引入了矩形环与矩形Clifford半环的概念.给出了矩形环和矩形Clifford半环的刻画,得到了在一定条件下矩形Clifford半环的织积分解,并得到了矩形Clif-ford半环是矩形环的强分配格的充分必要条件.By using the concept of band semiring, the concepts of rectangular Clifford ring and rectangular semiring are introduced extending left Clifflrd ring and left semiring. Characterizations of rectangular Clifford ring and rectangularsemiring are given and under certain conditions the spined product decomposition of rectangular Clifford semiring is obtained. Further, the necessary and sufficient condition that rectangular semiringis a strong distributive lattice of rectangular ring is got.

关 键 词：带半环 矩形环 分配格同余 矩形Clifford半环 

分 类 号：O152.7[理学—数学]