in this paper we establish a characterization of abelian compact hausdorff semigroups with unique idempotent and ideal retraction property. we also introduce a function algebra on a semitopological semigroup whose associated semigroup compactification is universal withrespect to these properties.
In this paper we establish a characterization of abelian compact Hausdorff semigroups with unique idempotent and ideal retraction property. We also introduce a function algebra on a semitopological semigroup whose associated semigroup compactification is universal withrespect to
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 wit
As a generalization of Preston’s kernel normal systems, $\mathcal{P}$ -kernel normal systems for $\mathcal{P}$ -inversive semigroups are introduced, and strongly regular $\mathcal{P}$ -congruences on $\mathcal{P}$ -inversive semigroups in terms of their $\mathcal{P}$ -kernel norm
Abstract We generalise a technique of Bhat and Skeide (J Funct Anal 269:1539–1562, 2015) to interpolate commuting families $$\{S_{i}\}_{i \in \mathcal {I}}$$ { S i } i ∈ I of contractions on a Hilbert space $$\mathcal {H}$$ H , to commuting families $$\{T_{i}\}_{i \in \mathcal {I
Abstract We prove first that every $$\mathcal {H}$$ H -commutative semigroup is stable. Using this result [and some results from the standard text (Nagy, Special classes of semigroups, Kluwer, Dordrecht, 2001)], we give two equivalent conditions for a semigroup to be an archimede
In this paper we describe $${\mathcal {R}}$$ -unipotent semigroups being regular extensions of a left band by an $$\mathcal {R}$$ semigroup T as certain subsemigroups wreath product T. We obtain Szendrei’s result that each E-unitary is embeddable into semidirect group. Further, s