JOURNAL OF SHANDONG UNIVERSITY(NATURAL SCIENCE) ›› 2018, Vol. 53 ›› Issue (4): 16-19.doi: 10.6040/j.issn.1671-9352.0.2017.419

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On products of S-acts

QIAO Hu-sheng, ZHAO Ting-ting   

  1. College of Mathematics and Statistics, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2017-08-21 Online:2018-04-20 Published:2018-04-13

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Abstract: Let S be a left collapsible or a right reversible monoid. It is proved that some properties can also transfer from products of acts to their components. The results generalized some known results on theseproperties, and some new classes of monoids over which the properties of product of acts can transfer to their components are obtained.

Key words: S-act, left collapsible monoid, right reversible monoid, direct products

CLC Number: 

  • O152.7
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