This paper gives necessary and sufficient conditions for the semidirect product of two semigroups to be completely Archimedean semigroups. 利用代数半群的相关知识,给出了两个半群的半直积(SP)是完全阿基米德半群的充要条件。
Then we give a structure theorem of weak LR-good quasi-adequate semigroups by using the tool of dual semidirect product. 并运用双重半直积(SP)给出弱LR好拟适当半群的结构定理。
The semidirect product of normal M-subgroup and MIM-subgroup, under some conditions, is M-group. 正规M-子群与MIM-群的半直积(SP)在一定条件下为M-群;
Then we establish the structure of such ordered semigroups in terms of the cartesian ordered semidirect product and the lexicographic ordered semidirect product. 然后,我们利用卡氏序半直积(SP)和字典序半直积(SP)建立了这类半群的结构。
The nilpotency of finite groups was studied by the properties of semidirect product, and some good results were got. 通过半直积(SP)的性质来研究有限群的幂零性,并得到一些好的结果。