半群TOn(k)的格林关系及正则元  

Green’s relations and regularity of the semigroup TOn(k)

作　　者：甘文秘 高荣海 罗永贵 GAN Wen-mi;GAO Rong-hai;LUO Yong-gui(School of Mathematics and Computer Science,Guizhou Normal University,Guiyang 550001,China)

机构地区：[1]贵州师范大学数学科学学院,贵州贵阳550025

出　　处：《云南民族大学学报（自然科学版）》2020年第4期328-331,共4页Journal of Yunnan Minzu University:Natural Sciences Edition

基　　金：国家自然科学基金(11861022)

摘　　要：设Tn是[n]上的全变换半群.对任意的k∈[n].令TOn(k)={α∈Tn:(■x,y∈[n])x≤y≤k■xα≤yα≤k},则TOn(k)是Tn的子半群,进一步获得了半群TOn(k)的格林关系及正则元.Let Tn be the full transformation semigroup on [n]. For all k in [n]. let TOn(k)={α∈Tn:(■x,y∈[n])x≤y≤k■xα≤yα≤k}, then TOn(k) is a subsemigroup of Tn, and finally the Green’s relations and regular elements of the semigroup TOn(k) are obtained.

关 键 词：变换半群 保序 格林关系 正则元 

分 类 号：G642[文化科学—高等教育学] O172-4[文化科学—教育学]