%A WANG Shou-feng %T λ-Semidirect products of regular semigroups with a multiplicative inverse transversal %0 Journal Article %D 2018 %J JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) %R 10.6040/j.issn.1671-9352.0.2017.570 %P 20-23 %V 53 %N 4 %U {http://lxbwk.njournal.sdu.edu.cn/CN/abstract/article_2939.shtml} %8 2018-04-20 %X 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.