JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2024, Vol. 59 ›› Issue (6): 13-18.doi: 10.6040/j.issn.1671-9352.0.2022.618

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Characterizations of monoids by Condition (P′ E)

Xiaoyan LI(),Husheng QIAO*()   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2022-11-28 Online:2024-06-20 Published:2024-06-17
  • Contact: Husheng QIAO E-mail:1728830254@qq.com;gsqiaohsh@163.com

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Abstract:

Let S be a monoid and A be a S-act, by combining the properties of Condition (P′) and Condition (PE), a new Condition (P′ E) is obtained. The basic properties of Condition (P′ E) and characterizations of monoids by this condition are given.

Key words: Condition (P′ E), Condition (PE), weakly right reversible

CLC Number: 

  • O152.7
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[1] LEI Yan, QIAO Hu-sheng. On the cyclic S-acts satisfying condition(P') [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2021, 56(8): 49-52.
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