Acta mathematica scientia,Series B ›› 2011, Vol. 31 ›› Issue (4): 1591-1599.doi: 10.1016/S0252-9602(11)60345-7

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SOME REMARKS ON (L)-GREEN’S RELATIONS AND STRONGLY RPP SEMIGROUPS

 DU Lan, GUO Yu-Qi*, K.P. Shum   

  1. Department of Mathematics, Ningxia University, Yinchuan 750021, China Department of Mathematics, Southwest University, Chongqing 400715, China Department of Mathematics, Hong Kong University, Hong Kong, China (SAR)
  • Received:2008-11-17 Revised:2010-03-21 Online:2011-07-20 Published:2011-07-20
  • Contact: GUO Yu-Qi E-mail:dulannn@163.com;yuqiguo259@swu.edu.cn;kpshum@maths.hku.hk
  • Supported by:

    The research of the second author was supported by the NSFC (10871161).

Abstract:

In order to study rpp semigroups, in particular, some special cases, several facts on (l)-Green’s relations and strongly rpp semigroups are given as some remarks.

Key words: (l)-Green’s relations, strongly rpp semigroups, semilattice congruences, D-primitive idempotents

CLC Number: 

  • 20M10
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