半群APk(n,n-1)的极大正则子半群  

Maximal Regular Subsemigroups of the Semigroup APk(n,n-1)

作　　者：刘木村 罗永贵 高荣海 LIU Mucun;LUO Yonggui;GAO Ronghai(School of Mathematical Sciences,Guizhou Normal University,Guiyang 550025,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：《贵州大学学报（自然科学版）》2022年第6期37-42,共6页Journal of Guizhou University:Natural Sciences

基　　金：贵州师范大学学术新苗基金资助项目(黔师新苗[2021]B08号)。

摘　　要：设自然数n≥3,SP_(n)是有限链X上的奇异部分变换半群。对任意的正整数k(1≤k≤n),令A^(*)_(k)为X上的k-局部交错群,并记AP_(k)(n,n-1)=A^(*)_(k)∪SP_(n)。通过分析半群AP_(k)(n,n-1)中的元素和格林关系,获得了半群AP_(k)(n,n-1)的极大正则子半群的完全分类。Let SP_(n) be singular partial transformation semigroup on a finite chain Xif the natural numbers n≥3. Let A^(*)_(k) be k-local alternating group on Xand let AP_(k)(n,n-1)=A^(*)_(k) ∪SP_(n) if for arbitrary integer k such that 1≤k≤n.By analyzing the elements and the Green’s relations of the semigroup AP_(k)(n,n-1),the classification completely of the maximal regular subsemigroups of the semigroup AP_(k)(n,n-1) is obtained.

关 键 词：变换半群 k-局部交错群 极大正则子半群 

分 类 号：O152.7[理学—数学]