Amenable上半格序广义逆群  

Amenably ∨-semilattice-ordered generalized inverse semigroup

作　　者：赵冬艳[1] 李培[1] 

机构地区：[1]西北大学数学系,陕西西安710127

出　　处：《纺织高校基础科学学报》2009年第2期141-143,148,共4页Basic Sciences Journal of Textile Universities

基　　金：国家自然科学基金资助项目(10471112);陕西省教育厅自然科学专项基金(07JK413)

摘　　要：研究了amenable上半格序广义逆半群.证明了若(S,.,∨)为amenable上半格序广义逆半群,则(S,.)为逆半群.进一步得到amenable上半格序广义逆半群在其偏序≤下为分配格.同时,给出了一些有趣的结果.Amenably V-semilattice-ordered generalized inverse semigroups were studied. Firstly,it is proved that if （S, ·, V ） is an amenably V -semilattice-ordered generalized inverse semigroup, semigroup. Moreover it is got that an amenably V-semilattice-ordered generalized then （S, · ） is an inverse inverse semigroup under its partial order is a distributive lattice. At the same time some interesting conclusions are given.

关 键 词：amenable上半格序广义逆半群 amenable格序Clifford半群 分配格 

分 类 号：O152.7[理学—数学]