Existence of Free Groups and Semigroups in Some Kinds of Compactification
published by Damascus University
in 2001
in
and research's language is
العربية
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Abstract in English
It is known that (Z×Z) is a semigroup with respect to addition, and it can
be endowed with the discrete topology; where Z is the set of integers. We can
make β(Z×Z), the Stone –Cech compactification of (Z×Z), a right –
topological semi group (Baker & Butcher).
References used
Walker, R. C. ١٩٧٤. The Stone – Cech compactification. Springer – Verlag. Berlin, Heidelberg, New York
Buther, R. J. ١٩٧٥. “The Stone–Cech compactification of a toplogical semigroup, and its algebra of measures. Ph.D. thesis, University of Sheffield