The universal nilpotent group compactification of a semigroup
Hamid Reza Ebrahimi Vishki, M. A. Pourabdollah · Proceedings of the American Mathematical Society · 1997
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.