兰州大学学报(自然科学版)
蘭州大學學報(自然科學版)
란주대학학보(자연과학판)
JOURNAL OF LANZHOU UNIVERSITY(NATURAL SCIENCES)
2013年
3期
389-394,399
,共7页
正则半群%局部逆半群%纯正半群%Amenable偏序
正則半群%跼部逆半群%純正半群%Amenable偏序
정칙반군%국부역반군%순정반군%Amenable편서
regular semigroup%locally inverse semigroup%orthodox semigroup%amenable partial order
给出了正则半群上Amenable偏序的一些刻画;证明了正则半群S上能够装有Amenable偏序当且仅当S是局部逆半群;完整地描述了完全正则半群上的Amenable偏序;证明了具有逆断面的广义逆半群上的Amenable偏序可被其逆断面上的Amenable偏序所唯一确定。
給齣瞭正則半群上Amenable偏序的一些刻畫;證明瞭正則半群S上能夠裝有Amenable偏序噹且僅噹S是跼部逆半群;完整地描述瞭完全正則半群上的Amenable偏序;證明瞭具有逆斷麵的廣義逆半群上的Amenable偏序可被其逆斷麵上的Amenable偏序所唯一確定。
급출료정칙반군상Amenable편서적일사각화;증명료정칙반군S상능구장유Amenable편서당차부당S시국부역반군;완정지묘술료완전정칙반군상적Amenable편서;증명료구유역단면적엄의역반군상적Amenable편서가피기역단면상적Amenable편서소유일학정。
Some characterizations of amenable partial orders on a regular semigroup were first given; Next, it was proved that an amenable partial order can be imposed on a regular semigroup S if and only if S is a locally inverse semigroup. Also, a complete description of an amenable partial order was given on a completely regular semigroup, provided that S be a generalized inverse semigroup with an inverse transversal. At last, the relations between the amenable partial orders on inverse transversal and amenable partial orders on S were uncovered and it was proved that an amenable partial order on inverse transversal can be uniquely extended to an amenable partial order on S.