Lmc-compactification of a semitopological semigroup as a space of e-ultrafilters (Q2439654)

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Lmc-compactification of a semitopological semigroup as a space of e-ultrafilters
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    Lmc-compactification of a semitopological semigroup as a space of e-ultrafilters (English)
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    14 March 2014
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    In this paper, the author presents some results about semigroup compactification and Lmc-compactification. Moreover, the author reconstructs the Lmc-compactification as a space of e-ultrafilters with a suitable topology. Finally, the author discusses some properties of \(\beta S\) which are extended to some properties on \(S^{\text{Lmc}}\), for a semitopological semigroup \(S\).
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    Semigroup Compactification
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    Lmc-compactification
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    z-filter
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    e-filter
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