摘要
LR-逆半群是拟逆半群的一个重要子类.研究了LR-逆半群的半直积,得到了2个LR-逆半群的半直积(直积)是一个LR-逆半群的充要条件,最后证明了半格和群的半直积是一个右逆半群.
The class of LR-inverse semigoups is an important subclass of quasi-inverse semigroups. It is continued inverstigate semidirect products of LR-inverse semigroup. A sufficient and necessary condition such that the semidirect （direct） product of two semigroups is an LR-inverse semigroup is given. Finally, it is proved that the semidirect product of a semilattice and a right inverse semigmup.
出处
《云南大学学报（自然科学版）》
CAS
CSCD
北大核心
2006年第3期188-191,共4页
Journal of Yunnan University(Natural Sciences Edition)
基金
国家自然科学基金资助项目(10071068)
云南省教育厅重点项目(5z0058A)
云南省自然科学基金资助项目(2002A0058M)
关键词
LR-逆半群
纯正半群
半直积
直积
LR-inverse semigroup
orthodox semigroup
semidirect product
direct product
