1-奇异变换半群T_(n)(1)的秩  

Rank of the 1-singular transformation semigroup T_(n)(1)

作　　者：徐波 高荣海 卢琳璋 游泰杰[1] XU Bo;GAO Rong-hai;LU Lin-zhang;YOU Tai-jie(School of Mathematical Sciences,Guizhou Normal University,Guiyang 550001,Guizhou,China;Editorial Department of Journal of Guizhou Normal University,Guizhou Normal University,Guiyang 550001,Guizhou,China;School of Mathematical Sciences,Xiamen University,Xiamen 361005,Fujian,China)

机构地区：[1]贵州师范大学数学科学学院,贵州贵阳550001 [2]贵州师范大学学报编辑部,贵州贵阳550001 [3]厦门大学数学科学学院,福建厦门361005

出　　处：《山东大学学报（理学版）》2022年第12期81-85,共5页Journal of Shandong University(Natural Science)

基　　金：国家自然科学基金资助项目(12261022)。

摘　　要：设自然数n≥4,X_(n)={1,2,…,n}。利用非单点性定义全变换半群的一类新的子半群——1-奇异变换半群,记作T_(n)(1)。通过幂等元分析法确定X_(n)上1-奇异变换半群T_(n)(1)的最小生成集之后,证明T_(n)(1)的秩为n。Let n≥4, and X_(n)={1,2,…,n}. A new class of subsemigroups, 1-singular transformation semigroups of total transformation semigroups, is defined by non-singleton property, denoted by T_(n)(1). After determining the minimum generating set of the 1-singular transformation semigroup T_(n)(1) on X_(n)by idempotent analysis, it is proved that the rank of T_(n)(1) is n.

关 键 词：1-奇异变换 半群 秩 

分 类 号：O152.7[理学—数学]