J4 ›› 2012, Vol. 47 ›› Issue (4): 94-96.

• Articles • Previous Articles     Next Articles

On a generalization of (P)-covers of cyclic acts

ZHAO Mei-mei, QIAO Hu-sheng*   

  1. College of Mathematics and Information Science, Northwest Normal University, Lanzhou 730070, Gansu, China
  • Received:2011-02-18 Online:2012-04-20 Published:2012-06-28

Abstract:

Let S be a monoid and I an ideal of S. Using the ideal I the condition (PI) is defined. The necessary and sufficient condition of cyclic act satisfying condition (PI) is given and the monoids over which every cyclic act has a (PI)-cover are investigated. If the ideal I equals to S, the condition (PI) and condition (P) are equivalent, so the main results in the reference are generalized.

Key words:  cyclic S-act; condition (P); cover

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