English

Quotient space of $\mathcal{LMC}$-compactification as a space of $z-$filters

Functional Analysis 2015-03-17 v1

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 \cite{Akbari}, we described an external construction of a semigroup compactification of a semitopological semigroup.

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Cite

@article{arxiv.1005.0083,
  title  = {Quotient space of $\mathcal{LMC}$-compactification as a space of $z-$filters},
  author = {M. Akbari Tootkaboni},
  journal= {arXiv preprint arXiv:1005.0083},
  year   = {2015}
}

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13 pages