两个保序全变换半群的直积上的自同构  

The Automorphism of the Direct Products of Two Order-preserving Full Transformation Semigroups

作　　者：尚传翠 杨秀良[1] SHANG Chuancui;YANG Xiuliang(School of Science,Hangzhou Normal University,Hangzhou 311121,China)

机构地区：[1]杭州师范大学理学院,浙江杭州311121

出　　处：《杭州师范大学学报（自然科学版）》2021年第3期311-316,共6页Journal of Hangzhou Normal University(Natural Science Edition)

摘　　要：令T_(n)为X_(n)={1,2,…,n}上的全变换半群,且令On={α∈T_(n)|■x,y∈X_(n),x≤y■xa≤ya}为Tn的保序全变换子半群,从而得到了直积O_(m)×O_(n)上的自同构.Let Tn be a full transformation semigroup on Xn={1,2,…,n}, and letOn={α∈T_(n)|■x,y∈X_(n),x≤y■xa≤ya} be an order-preserving full transformation subsemigroup of Tn, the automorphism of the direct products of O_(m)×O_(n) is obtained.

关 键 词：保序全变换半群 直积 自同构 

分 类 号：O152.7[理学—数学]