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

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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
[1] CHASE S U. Direct product of modules[J]. Trans Amer Math Soc, 1960, 97:457-473.
[2] BULMAN-FLEMING S. Products of projective S-systems[J]. Comm Algebra,1991, 19(3):951-964.
[3] GOULD V. Coherent monoids[J]. Austral Math Soc, 1992, 53:166-182.
[4] SEDAGHTJOO M, KHOSRAVI R M, ERSHAD M. Principally weakly and weakly coherent monoids[J]. Comm Algebra, 2009, 37:4281-4295.
[5] QIAO Husheng, WEI Chongqing. On a generalization of principal weak atness property[J]. Semigroup Forum, 2012, 85:147-159.
[6] NOURI L, GOLCHIN A, MOHAMMADZADEH H. On properties of product acts over monoids[J]. Comm. Algebra, 2015, 43:1854-1876.
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