右群的半直积及结构

CHARACTERIZATIONOFSEMIDIRECT PRODUCT OFRIGHTGROUPS

给出了两个半群的半直积为右群的充分必要条件，且证明了当Ｓ×＿αＴ是右群时，Ｅ（Ｔ）．最后给出了右群的半直积的结构，即其中，ｅ∈Ｅ（Ｓ），ｕ∈Ｅ（Ｔ）．

In this paper we offer the necessary and sufficient conditions for the semidireclproduct of two semigroups to be a right group,and present that,whenS×_αT is a right group.In the end the structure of the semidirect product of right groups isgiven,that is where e∈E(S),and u∈E(T)。