JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2021, Vol. 56 ›› Issue (8): 49-52.doi: 10.6040/j.issn.1671-9352.0.2020.651

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On the cyclic S-acts satisfying condition(P')

LEI Yan, QIAO Hu-sheng*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2021-08-09

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Abstract: Let S be a monoid and ρ be a right congruence on S, S/ρ be a cyclic right S-act. The homological classification problem of cyclic right S-acts satisfying condition(P')with respect to condition(P), condition(PF″), weakly pullback flat, strong flat and projective properties are discussed.

Key words: condition(P'), cyclic S-act, weakly right reversible submonoid

CLC Number: 

  • O152.7
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