JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2016, Vol. 51 ›› Issue (8): 35-38.doi: 10.6040/j.issn.1671-9352.0.2015.351

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Pomonoids over which all strongly flat left S-posets are I-regular

WEN Hai-cun, QIAO Hu-sheng*   

  1. Department of Mathematics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2015-07-15 Online:2016-08-20 Published:2016-08-08

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Abstract: Let S be a pomonoid. All strongly flat left S-posets are I-regular if and only if S is a left PSF and left semiperfect pomonoid are presented. It is also equivalent with S is a left PP pomonoid, and satisfying property(FP2). Furthermore, pomonoids over which every I-regular left S-poset satisfying Condition(P)are characterized.

Key words: strongly flat, I-regular, S-poset

CLC Number: 

  • O152.7
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