Compact Topological Semigroups Associated with Oids

Volume 12, Issue 3, pp 219-234 http://dx.doi.org/10.22436/jmcs.012.03.06

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Authors

Abdol Mohammad Aminpour - Department of Mathematical Sciences and Computer, Shahid Chamran University, Ahvaz, Iran. Mehrdad Seilani - Iranian Academic Center for Education Culture and Research(ACECR).

Abstract

The known theory for a discrete oid \(T\) shows that how to find a subset \(T^{\infty}\) of \(\beta T\) which is a compact right topological semigroup (see section 2 for details).In this paper we try to find an analogue of almost periodic functions for oids. We discover, new compact semigroups by using a certain subspace of functions \(u^{\infty}(T)\) of \(C(T)\) for an oid \(T\) for which \(f\beta\) is continuous on \(T^{\infty}\times(T\cup T^{\infty}\cup TT^{\infty})\),where \((T\cup T^{\infty}\cup TT^{\infty})\) is a suitable subspace of \(\beta T\) for a wide range.

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Keywords

• Oid
• Jointly continuous function
• Compact topological semigroup.

MSC

•  22A15
•  54D30

References

• [1] A. M. Aminpour, Spaces of functions determind by iterated limits “at infinity”on an oid, Proc. Cambridge Phill. Soc., 111 (1992), 127–142.
  • View Article
  • Google Scholar
  • MATH


• [2] A. M. Aminpour, A sub semigroupof some Stone-Cech compactification, Math. Nachr. , 158 (1992), 207–218.
  • View Article
  • Google Scholar


• [3] J. F. Berglund, H. D. Junghenn, P. Milnes, Analysis on semigroups, Wiley, New York (1989)
  • Google Scholar


• [4] P. Civin, B. Yood, The second conjugate space of a Banach algebra as an algebra, Pacific J.Math., 11 (1961), 847–870.
  • MathSciNet
  • Google Scholar


• [5] N. Hindman, J. S. Pym, Free groups and semigroups in 𝛽ℕ, Semigroup Forum, 30 (1984), 177–193.
  • View Article
  • Google Scholar


• [6] T. Papazyan, Oids, finite sums and the structure of the Stone-Cech compactification of a discrete semigroups, Semigroup Forum, 42(3) (1991), 265–277.
  • View Article
  • MathSciNet
  • Google Scholar


• [7] J. S. Pym, Semigroup structure in Stone-Cech compactification, J.London. Math. Soc., (2)36 (1987), 421–428.
  • View Article
  • MathSciNet
  • Google Scholar


• [8] R. C. Walker, The Stone-Cech compactification, Springer-Verlag, Berlin (1974)
  • View Article
  • Google Scholar


• [9] J. L. Kelley, general topology, Van Nostrand, (1955)
  • Google Scholar


• [10] J. F. Berglund, H. D. Junghenn, P. Milnes, Compact right topological semigroups and Generalization of almost periodicity , LectureNotes in Math.Vol.663,Springer-Verlag, Berlin (1973)
  • MathSciNet
  • Google Scholar