JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (4): 20-23.doi: 10.6040/j.issn.1671-9352.0.2017.570

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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

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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.

Key words: regular semigroup, multiplicative inverse transversal, λ-semidirect

CLC Number: 

  • O152.7
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[7] XING Jian-min . LR-normal orthogroup congruence on regular semigroups [J]. J4, 2006, 41(1): 41-44 .
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