%0 Journal Article %T 具有可乘逆断面的正则半群的λ-半直积<br>λ-Semidirect products of regular semigroups with a multiplicative inverse transversal %A 王守峰 %J 山东大学学报(理学版) %D 2018 %R 10.6040/j.issn.1671-9352.0.2017.570 %X 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。<br>Abstract: λ-Semidirect products of regular semigroups with a multiplicative inverse transversal are introduced. It is proved that the λ-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 %K 可乘逆断面 %K 正则半群 %K < %K i> %K λ< %K /i> %K -半直积 %K < %K br> %K regular semigroup %K multiplicative inverse transversal %K < %K i> %K λ< %K /i> %K -semidirect %U http://lxbwk.njournal.sdu.edu.cn/CN/10.6040/j.issn.1671-9352.0.2017.570