JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (10): 1-3.doi: 10.6040/j.issn.1671-9352.0.2017.037

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On monoids over which all weakly injective right S-acts are regular

QIAO Hu-sheng, JIN Wen-gang   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2017-02-10 Online:2017-10-20 Published:2017-10-12

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Abstract: Let S be a monoid. The characterizations of monoids over which all weakly injective right S-acts are regular is investigated, some wrong results of Moon are corrected. Moreover, the equivalent characterization of monoids over which all fgdu-weakly injective right S-acts are regular are obtained.

Key words: weakly injective S-act, regular act, fgdu-weakly injective S-act

CLC Number: 

  • O152.7
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