JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (4): 13-20.doi: 10.6040/j.issn.1671-9352.0.2019.724

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λ-semidirect products of P-restriction semigroups

YAN Pan, YAN Qing-fu, WANG Shou-feng*   

  1. School of Mathematics, Yunnan Normal University, Kunming 650500, Yunnan, China
  • Published:2020-04-09

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Abstract: The concept of λ-semidirect products of P-restriction semigroups is introduced, and it is proved that the λ-semidirect product of a P-restriction semigroup and a locally restriction P-restriction semigroup forms a P-restriction semigroup. In particular, it is shown that the λ-semidirect product of two locally restriction P-restriction semigroups also forms a locally restriction P-restriction semigroup.

Key words: P-restriction semigroup, λ-semidirect product, locally restriction P-restriction semigroup

CLC Number: 

  • O152.7
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