Acta mathematica scientia,Series A ›› 2013, Vol. 33 ›› Issue (5): 882-893.

• Articles • Previous Articles     Next Articles

Quasi-ideal Quasi-adequate Transversals and Like-spined Product

 KONG Xiang-Jun1, WANG Pei2   

  1. 1.School of Mathematical Sciences, Qufu Normal University, Shandong Qufu 273165;
    2.School of Computer Sciences, Qufu Normal University, Shandong Qufu 273165
  • Received:2011-04-13 Revised:2012-11-22 Online:2013-10-25 Published:2013-10-25

Abstract:

Some properties and characterizations for abundant semigroups with quasi-ideal quasi-adequate transversals are acquired. A like-spined product structure theorem for such abundant semigroups  is established by means of two quasi-adequate semigroups R and L.

Key words: Abundant semigroup, Quasi-ideal, Quasi-adequate transversal, Spined product, Like-spined product

CLC Number: 

  • 20M10
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