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Information Journal Paper

Title

FILTERS AND THE WEAKLY ALMOST PERIODIC COMPACTIFICATION OF A SEMITOPOLOGICAL SEMIGROUP

Pages

  59-80

Abstract

 Let S be a semitopological semigroup. The wap- compact-ification of semigroup S, is a compact semitopological semigroup with certain universal properties relative to the original semigroup, and the Lmc- compactification of semigroup S is a universal SEMIGROUP COMPACTIFICATION of S, which are denoted by Swap and SLmc respectively. In this paper, an internal construction of the WAP-COMPACTIFICATION of a semitopological semigroup is constructed as a space of Z-FILTERs. Also we obtain the cardinality of Swap and show that if Swap is the one point compactification then (SLmc - S) * SLmc is dense in SLmc - S.

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    APA: Copy

    AKBARI TOOTKABONI, M.. (2015). FILTERS AND THE WEAKLY ALMOST PERIODIC COMPACTIFICATION OF A SEMITOPOLOGICAL SEMIGROUP. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), 10(1), 59-80. SID. https://sid.ir/paper/310390/en

    Vancouver: Copy

    AKBARI TOOTKABONI M.. FILTERS AND THE WEAKLY ALMOST PERIODIC COMPACTIFICATION OF A SEMITOPOLOGICAL SEMIGROUP. IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI)[Internet]. 2015;10(1):59-80. Available from: https://sid.ir/paper/310390/en

    IEEE: Copy

    M. AKBARI TOOTKABONI, “FILTERS AND THE WEAKLY ALMOST PERIODIC COMPACTIFICATION OF A SEMITOPOLOGICAL SEMIGROUP,” IRANIAN JOURNAL OF MATHEMATICAL SCIENCES AND INFORMATICS (IJMSI), vol. 10, no. 1, pp. 59–80, 2015, [Online]. Available: https://sid.ir/paper/310390/en

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