摘要
设X是非空集合,A是X的非空子集,PT(X)是集合X上所有部分变换构成的半群.令PT(X,A)={f∈PT(X)|imf■A},则PT(X,A)是PT(X)的子半群.利用已有的结果,给出了PT(X,A)上的L^(*)关系和R^(*)关系的刻画,并据此讨论了PT(X,A)的富足性.
Let X be a non-empty set and A a non-empty subset of X,and PT(X)the semigroup of all partial transformations on X.Let PT(X,A)=(f∈PT(X)I imf■A).Then PT(X,A)is a subsemigroup of PT(X).On the basis of the existing results,we gives some characteristics of the Green*-relations L^(*)and R^(*)on the semigroup PT(X,A),and then studies the abundance of the PT(X,A).
作者
严庆富
晏潘
王守峰
YAN Qing-fu;YAN Pan;WANG Shou-feng(School of Mathematics,Ganzhou Teacher College,Ganzhou 341000,China;Chengdu College of University of Electronic Science and Technology of China,Chengdu 611731,China;School of Mathematics,Yunnan Normal University,Kunming 650500,China)
出处
《数学的实践与认识》
北大核心
2024年第4期221-225,共5页
Mathematics in Practice and Theory
基金
江西省教育厅科学技术研究项目(GJJ213510)。
关键词
部分变换半群
格林*-关系
富足性
partial transformations semigroup
L^(*),R^(*)relations
abundance
