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The universal nilpotent group compactification of a semigroup

Author(s): H. R. Ebrahimi-Vishki; M. A. Pourabdollah
Journal: Proc. Amer. Math. Soc. 125 (1997), 2171-2174.
MSC (1991): Primary 22A20, 43A60
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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.

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Additional Information:

H. R. Ebrahimi-Vishki
Affiliation: Department of Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-91775 Mashhad, Iran
Email: vishki@toos.um.ac.ir

M. A. Pourabdollah
Affiliation: Department of Mathematics, Ferdowsi University of Mashhad, P.O. Box 1159-91775 Mashhad, Iran
Email: pourabd@toos.um.ac.ir

DOI: 10.1090/S0002-9939-97-03843-4
PII: S 0002-9939(97)03843-4
Keywords: Semitopological semigroup, (universal) semigroup compactification, weakly (strongly) almost periodic function, distal function, nilpotent group
Received by editor(s): January 16, 1996
Communicated by: Palle E. T. Jorgensen
Copyright of article: Copyright 1997, American Mathematical Society

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