半群бφ_n的某些特殊性质  

Some Special Properties on the Semigroup бφ_n

作　　者：吕会 罗永贵 赵平 戴先胜 LV Hui;LUO Yong-gui;ZHAO Ping;DAI Xian-sheng(School of Mathematics Science,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：《数学的实践与认识》2019年第2期252-258,共7页Mathematics in Practice and Theory

基　　金：贵州师范大学资助博士科研项目(119040518048)

摘　　要：设自然数n≥4,б_n是有限链[n]上的保序奇异变换半群.并通过分析秩为r的元素,获得了半群бφ_n={α∈б_n:■x∈im (α)■|xα~^(-1)|≥|im(α)|}的Green-关系、正则性和主因子的秩.Let бn be the semigroup of all order-preserving singular transformations on a finite-chain [n] if n ≥ 4. By analyzing the elements of rank r, Green’s relations,regular element and the rank of principal factors of the semigroup бφn = {α∈бn:■x ∈im(α)■|xα-1|≥ |im(α)|} is obtained.

关 键 词：保序变换半群 格林关系 正则元 极小生成集 秩 

分 类 号：O152.7[理学—数学]