JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2019, Vol. 54 ›› Issue (6): 21-24.doi: 10.6040/j.issn.1671-9352.0.2018.447

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Characterization of monoids by strong faithful S-acts

QIAO Hu-sheng, CHEN Qian*   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Published:2019-06-05

Abstract: Let S be a monoid. The new properties of strong faithful S-acts are investigated, and the homological classification problem of strong faithful property and flatness properties are discussed.

Key words: strong faithful S-acts, flatness, homological classification

CLC Number: 

  • O152.7
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[1] 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.
[2] QIAO Hu-sheng, WEN Hai-cun. On a generalizations of principally weakly po-flat posets [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2015, 50(12): 109-113.
[3] QIAO Hu-sheng, LIU Jian-min. Characterization of n-left almost regular monoids by flatness property [J]. JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE), 2014, 49(2): 4-6.
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