Acta mathematica scientia,Series B ›› 2012, Vol. 32 ›› Issue (5): 2010-2020.doi: 10.1016/S0252-9602(12)60156-8

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QUOTIENT SPACE OF LMC-COMPACTIFICATION AS A SPACE OF z-FILTERS

Mohammad Akbari Tootkaboni   

  1. Department of Mathematics, Faculty of Science, Shahed University, 18151-159, Tehran, Iran
  • Received:2011-05-11 Revised:2012-03-18 Online:2012-09-20 Published:2012-09-20

Abstract:

The left multiplicative continuous compactification is the universal semigroup compactification of a semitopological semigroup. In this paper an internal construction of a quotient space of the left multiplicative continuous compactification of a semitopological semigroup is constructed as a space of z-filters.

Key words: LMC-compactification, z-filters, quotient space

CLC Number: 

  • 22A15
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