π*-半群

π*-semigroup

本文给出了π*-半群的概念,证明了π*-半群是正则半群;π*-半群可以不是纯正半群,可以不是弱正则*-半群.存在π*-半群无法重新定义*运算使之成为弱正则*-半群.

In this pape π^＊ - semigroup is introduced and prove that a π^＊ -semigroup is a regular semigroup , a π^＊ -semigroups maybe is not an orthodox semigroup, a π^＊ - semigroup maybe is not a weakly regular ＊ - semigroup , exist aπ^＊ -semigroups S we can＇ t define a unary operation ＊ on it such that S is a weakly regular ＊ - semigroup.