Article

the universal $mathcal{air}$- compactification of a semigroup

the universal $mathcal{air}$- compactification of a semigroup

a. sahleh, university of guilan l. najarpisheh, university of guilan

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Abstract

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.

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