JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2022, Vol. 57 ›› Issue (10): 6-10.doi: 10.6040/j.issn.1671-9352.0.2021.694

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On the characterizations of P-principally weakly injective acts

QIAO Hu-sheng, YUAN Ying-min*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2022-10-06

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Abstract: Let S be a monoid and P be a nonempty subset of S. A new kind of principally weakly injective act is defined, which is based on the embedding principal right ideals generated by elements in P and is called P-principally weakly injective act. Using this new property, the characterizations of some new classes of monoids are given.

Key words: S-act, P-principally weakly injective, principally weakly injective

CLC Number: 

  • O152.7
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