JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2026, Vol. 61 ›› Issue (4): 9-12.doi: 10.6040/j.issn.1671-9352.0.2024.104

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On S-acts satisfying condition(PWPK)

QIAO Husheng1,2, WANG Li1*   

  1. 1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China;
    2. Gansu Provincial Research Center for Basic Disciplines of Mathematics and Statistics, Lanzhou 730070, Gansu, China
  • Published:2026-04-08

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Abstract: Let K be an ideal of a monoid S. The basic properties of the S-acts satisfying condition(PWPK)are investigated. The relations between coproducts, directed colimits, Rees short exact sequences, and condition(PWPK)are established respectively. A characterization of the condition(PWPK)is given by using the purity of S-epimorphism.

Key words: condition(PWPK), ideal, S-act, monoid

CLC Number: 

  • O152
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