正则*-半群与右逆半群

Regular*-semigroup and right unipotent semigroups

本文证明了,存在不是右逆半群的正则*-半群、存在不是正则*-半群的右逆半群、正则*-半群与右逆半群交集是逆半群.

In this paper we prove that exist a right unipotent semigroups it is not a a regular ＊ - semigroup it is not a fight unipotent semigroups, and a semigroup S is inverse semigroups if and only if S is right unipotent semigroups and S is regular ＊ - semigroup.