乘法含幺半环的拟分配格的同余格  

Lattice of congruence of a quasi-distributive lattice of semirings with multiplication identical elements

作　　者：李刚[1] 刘清[2] 

机构地区：[1]山东师范大学数学科学学院,山东济南250014 [2]山东城市建设职业学院基础部,山东济南250014

出　　处：《山东科学》2014年第6期100-104,共5页Shandong Science

摘　　要：定义了乘法含幺半环的拟分配格S=[D;Sα]的同余格的一个子格,证明了它同构于Sα(α∈D)的同余格的直积的子格,用同余对刻画了乘法含幺逆半环的拟分配格S=[D;Sα]上的同余。We define a sub-lattice of the lattice of congruence of a quasi-distributive lattice S = [ D; Sa] of semirings with multiplication identical elements. We also prove that such a sub-lattice is isomorphic to a sub-lattice of the direct product of lattice of congruence of Sa = [a∈ D]. We further demonstrate the congruence of a quasi-distributive lattice S= [ D;Sa] of inverse semirings with multiplication identical elements by congruence pairs.

关 键 词：半环 分配格 拟分配格 半环的同余格 同余对 

分 类 号：O152.7[理学—数学]