JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2023, Vol. 58 ›› Issue (3): 14-18.doi: 10.6040/j.issn.1671-9352.0.2022.223

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The structure of proper glrac semigroups

LIU Hai-jun1,2, GUO Xiao-jiang1*   

  1. 1. School of Mathematics and Statistics, Jiangxi Normal University, Nanchang 330022, Jiangxi, China;
    2. School of Mathematics and Statistics, Shaoguan University, Shaoguan 512005, Guangdong, China
  • Online:2023-03-20 Published:2023-03-02

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Abstract: The concept of glrac semigroupoids is introduced and a structure theorem of proper glrac semigroups is established by means of the action of a monoid upon a proper glrac semigroupoid on the left. As an application, the construction of proper left GC-lpp semigroups is also considered.

Key words: glrac semigroups, semigroupoids, monoids

CLC Number: 

  • O152.7
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