半群A^(*)_(k)I_(n)的(完全)独立子半群的完全分类  

The complete classifications of(completely)isolated subsemigroups of the semigroup A^(*)_(k)I_(n)

作　　者：史先锋 罗永贵 SHI Xianfeng;LUO Yonggui(School of Mathematical Sciences,Guizhou Normal University,Guiyang,Guizhou 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：《贵州师范大学学报（自然科学版）》2023年第2期86-90,共5页Journal of Guizhou Normal University：Natural Sciences

基　　金：贵州师范大学学术新苗基金项目(黔师新苗[2021]BO8号)。

摘　　要：设自然数n≥4,I_(n)和S n是有限链X n上的部分一一变换半群和对称群。对任意的正整数k满足3≤k≤n,令A^(*)_(k)表示X n上的k-局部交错群,再令A^(*)_(k)I_(n)=A^(*)_(k)∪(I_(n)\S n),A^(*)_(k)I_(n)是部分一一变换半群I_(n)的子半群。通过分析半群A^(*)_(k)I_(n)的子半群的结构,从而获得半群A^(*)_(k)I_(n)中(完全)独立子半群的完全分类。Let n≥4,I n and S n be partial one-to-one transformation semigroup and symmetic group on a finite chain X n respectively.For an arbitrary k such that 3≤k≤n,let A*k be a k-local alternating group on X n,A^(*)_(k)I_(n)=A*k∪(I n\S n)and A^(*)_(k)I_(n)be a subsemigroup of I n.By anaylzing the construction of subsemigroups of the semigroup A^(*)_(k)I_(n),the complete classifications of(completely)isolated subsemigroups of the semigroup A^(*)_(k)I_(n)are obtained,respectively.

关 键 词：变换半群 k-局部交错群 (完全)独立子半群 

分 类 号：O152.7[理学—数学]