完全正则半群和幺半群上的Rees矩阵半群  

The Completely Regular Semigroup And The Rees Matrix Semigroup

作　　者：黎宏伟[1] 

机构地区：[1]宿迁学院数学系,江苏宿迁223800

出　　处：《科学技术创新》2020年第29期32-34,共3页Scientific and Technological Innovation

摘　　要：讨论了含幺Clifford半群上的Rees矩阵半群和完全正则半群之间的关系,证明了完全正则半群是含幺Clifford半群上的Rees矩阵半群当且仅当它是幺半群上的Rees矩阵半群。The relations between the completely regular semigroup and the Rees matrix semigroup over a Clifford semigroup with identity is investigated and prove that a completely regular semigroup is a Rees matrix semigroup over a Clifford semigroup with identity if and only if it is a a Rees matrix semigroup over a monoid.

关 键 词：完全正则半群 REES矩阵半群 CLIFFORD半群 幺半群 

分 类 号：O15[理学—数学]