JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2017, Vol. 52 ›› Issue (12): 1-4.doi: 10.6040/j.issn.1671-9352.0.2017.254

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GP-coherent monoids

QIAO Hu-sheng, LIAO Min-ying   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2017-05-22 Online:2017-12-20 Published:2017-12-22

Abstract: GP-flat S-act is a genetalization of principally weakly flat S-act. Monoids over which GP-flatness property of S-acts is preserved under direct product are characterized, and some known results of the case n=1 according to principally weakly coherent monoids to any other natural numbers is extended.

Key words: direct product, GP-left coherent monoid, GP-flat

CLC Number: 

  • O152.7
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