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The universal nilpotent group compactification of a semigroup |
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| Authors: | H. R. Ebrahimi-Vishki M. A. Pourabdollah |
| Affiliation: | Department of Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-91775 Mashhad, Iran ; Department of Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-91775 Mashhad, Iran |
| Abstract: | The purpose of this paper is to introduce an algebra of functions on a semitopological semigroup and to study these functions from the point of view of universal semigroup compactification. We show that the corresponding semigroup compactification of this algebra is universal with respect to the property of being a nilpotent group. |
| Keywords: | Semitopological semigroup (universal) semigroup compactification weakly (strongly) almost periodic function distal function nilpotent group |
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