Quotient space of LMC-compactification as a space of z-filters

Abstract

The left multiplicative continuous compactification of a semitopological semigroup is the universal semigroup compactification. In this paper an internal construction of a semigroup compactification of a semitopological semigroup is constructed as a space of filters. In Akbari, we described an external construction of a semigroup compactification of a semitopological semigroup.

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