Acta mathematica scientia, Series B >
QUOTIENT SPACE OF LMC-COMPACTIFICATION AS A SPACE OF z-FILTERS
Received date: 2011-05-11
Revised date: 2012-03-18
Online published: 2012-09-20
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
Mohammad Akbari Tootkaboni . QUOTIENT SPACE OF LMC-COMPACTIFICATION AS A SPACE OF z-FILTERS[J]. Acta mathematica scientia, Series B, 2012 , 32(5) : 2010 -2020 . DOI: 10.1016/S0252-9602(12)60156-8
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