JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (10): 9-13.doi: 10.6040/j.issn.1671-9352.0.2017.512

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Characterization of monoids by C(P')acts

LIANG Xing-liang, WU Su-peng, REN Jun   

  1. Department of Mathematics, Shaanxi University of Science and Technology, Xian 710021, Shaanxi, China
  • Received:2017-10-01 Online:2018-10-20 Published:2018-10-09

Abstract: Let S be a monoid. By using ring theory and module theory, C(P')right S-acts in the category of S-acts are introduced, and some important monoids, such as P(P')monoids, periodic monoids and so on, are characterized by C(P')property of S-acts. Further, some important results on C(P)right S-acts are extended. Meanwhile, an important significance to the application of regularity in S-acts is presented.

Key words: periodic monoid, C(P')act, P(P')monoid, S-act

CLC Number: 

  • O152.7
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