纺织高校基础科学学报2011，Vol.24Issue(3)：397-399,3.
关于一类偏序正则半群
On a class of partially ordered regular semigroups
摘要
Abstract
The concepts of V -semilatticed partially ordered regular semigroup are given,through studying the partial order on it,a characterization of V -semilatticed partially ordered regular semigroup becoming an inverse semigroup is given. Let(S,V, · , ≤ ) beanV -semilatticed partially ordered regular semigroup. If ≤ is the extension of the natural partial order <; ,then (S,· ) is an inverse semigroup. Furthermore,if ^ is an amenable partial order on S,then (S, · ) is a Clifford semigroup.关键词
逆半群/自然偏序/上半格偏序半群/amenable偏序Key words
inverse semigroup/ natural partial order/ V-semilatticed partially ordered regular semigroup/ amenable partial order分类
数理科学引用本文复制引用
元文娥,雷晓敏,王斌..关于一类偏序正则半群[J].纺织高校基础科学学报,2011,24(3):397-399,3.基金项目
陕西省自然科学基金资助项目(2011JQ1017) （2011JQ1017）
西北大学科学研究基金资助项目(NC0925) （NC0925）
