摘要
引入了具有可乘逆断面的正则半群上的λ-半直积的概念,证明了两个具有可乘逆断面的正则半群的λ-半直积仍为具有可乘逆断面的正则半群,推广了逆半群的相关结论。
λ-Semidirect products of regular semigroups with a multiplicative inverse transversal are introduced. It is proved that theλ-semidirect of two regular semigroups with a multiplicative inverse transversal is always a regular semigroup with a multiplicative inverse transversal,which generalizes the related results of inverse semigroups.
作者
王守峰
WANG Shou-feng(School of Mathematics, Yunnan Normal University, Kunming 650500, Yunnan, China;School of Mathematics, Shandong University, Jinan 250100, Shandong, China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2018年第4期20-23,共4页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(11661082)
关键词
正则半群
可乘逆断面
λ-半直积
regular semigroup
multiplicative inverse transversal
λ-semidirect
