JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (12): 7-10.doi: 10.6040/j.issn.1671-9352.0.2021.246

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Maximal idempotent-generated subsemigroups of the semigroup PCn

ZHANG Chuan-jun1, ZHAO Hai-qing2*   

  1. 1. School of Mathematics and Big Data, Guizhou Education University, Guiyang 550001, Guizhou, China;
    2. School of Mathematics and Statistics, Lingnan Normal University, Zhanjiang 510006, Guangdong, China
  • Published:2021-11-25

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Abstract: The authors studied the semigroup PCn, consisting of all partial decreasing and order-preserving transformations on a finite chain. Analyzing the idempotent elements, completely obtained the classification of the maximal subsemigroups as well as the maximal idempotent-generated subsemigroups of the semigroup PCn.

Key words: order-preserving, decreasing, maximal subsemigroup, maximal idempotent-generated subsemigroup

CLC Number: 

  • O152.7
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