S-正则半群

S-REGULAR SEMIGROUPS

本文定义了S-正则半群，给出了一个正则半群是S-正则半群的充要条件，讨论了S-正则半群的性质，证明了有S-集的正则半群强半格是S-正则半群的强S-半格．

In this paper,the S-regular semigroup is defined the necessity and sufficentconditions for a regular semigroup being S-regular are given, the properties of S-regularsemigroups are discussed and the fact that a strong semilattice of regular semigroups havingS-set is a strong S-semilattice of S-regular semigroups is proved.