### λ-Semidirect products of regular semigroups with a multiplicative inverse transversal

WANG Shou-feng1,2

1. 1. School of Mathematics, Yunnan Normal University, Kunming 650500, Yunnan, China;
2. School of Mathematics, Shandong University, Jinan 250100, Shandong, China
• Received:2017-10-31 Online:2018-04-20 Published:2018-04-13

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.

CLC Number:

• O152.7
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