摘要
本文引入左，右半群并讨论其基本性质，并给出半群的基本类型。文中证明完全单半群是左半群当且仅当它是矩形群，则该半群必是半群。同时证明了正则的左、右半群必是纯正半群。最后，证明左Ｃ半群是左半群并证明强左Ｃ半群是半群当且仅当它的幂等元带是半群。
In this paper,we.discuss the left(right)semigroup.We have proved that a completely simplesemigroup is a left semigroup if and only if it is rectangular group,in this case it is a semigroup.We have proved that a regular left(right)semigroup is a othordox semigroup. Finally, we provedthat a left Clifford semitgroup is a left semigrorp and that a strong left Clifford semigrorp is a semigroup if and only if its band of idempotents is a band.
出处
《青海师范大学学报（自然科学版）》
1995年第1期9-12,共4页
Journal of Qinghai Normal University(Natural Science Edition)
基金
国家自然科学基金
