JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2020, Vol. 55 ›› Issue (4): 21-24.doi: 10.6040/j.issn.1671-9352.0.2019.802

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A new generalization of C(P)acts

QIAO Hu-sheng, XU Yang*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2020-04-09

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Abstract: Let S be a monoid. A generalization of regular right act is studied, which is called principally weakly C(P)act. A right S-act A is called a principally weakly C(P)act if all cyclic subacts of A satisfy condition(PWP). The characterization of principally weakly P(P)monoids are mainly characterized by principally weakly C(P)properties, the homological classification problem on principally weakly C(P)acts is investigated.

Key words: S-acts, principally weakly C(P)act, principally weakly P(P)monoid

CLC Number: 

  • O152.7
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[3] QIAO Hu-sheng, FENG Le-ting. Characterization of pomonoids by inverse S-posets [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2019, 54(6): 25-29.
[4] QIAO Hu-sheng, BAI Yong-fa. Characterization of monoids by inverse S-acts [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2017, 52(2): 1-4.
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