吉林大学学报（理学版）2018，Vol.56Issue(3)：549-555,7.DOI:10.13413/j.cnki.jdxblxb.2018.03.13
有限全变换半群变种具有某种性质的极大子半群
Maximal Subsemigroups of Some Properties in Variants of Finite Full Transformation Semigroups
摘要
Abstract
Let X be a nonnull finite set with X = n ,TX be the finite full transformation semigroup on X .We took a∈ TX and defined operation *a on TX for arbitrary x ,y ∈ TX ,and x*a y= xay .TX constituted a semigroup of the operation *a , which was called a variant of the finite full transformation semigroup ,and denoted TXa .We considered TXa and its maximal regular subsemigroup Reg(TXa) ,and gave the structure and complete classification of maximal subsemigroups of TXa and maximal regular semigroups of Reg(TXa) .关键词
变换半群/变种/极大正则子半群/矩形群Key words
transformation semigroup/variant/maximal regular subsemigroup/rectangular group分类
数理科学引用本文复制引用
金久林,游泰杰,徐波..有限全变换半群变种具有某种性质的极大子半群[J].吉林大学学报（理学版）,2018,56(3):549-555,7.基金项目
国家自然科学基金(批准号:11461014). （批准号:11461014）
