the universal $mathcal{air}$- compactification of a semigroup
نویسندگان
چکیده
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.
منابع مشابه
The universal $mathcal{AIR}$- compactification of a semigroup
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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15 صفحه اولLmc-compactification of a semitopological semigroup as a space of e-ultrafilters
Let S be a semitopological semigroup and CB(S) denote the C∗-algebra of all bounded complex valued continuous functions on S with uniform norm. A function f ∈ CB(S) is left multiplicative continuous if and only if Tμf ∈ CB(S) for all μ in the spectrum of CB(S), where Tμf(s) = μ(Lsf) and Lsf(x) = f(sx) for each s, x ∈ S. The collection of all the left multiplicative continuous functions on S is ...
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عنوان ژورنال:
journal of algebra and related topicsجلد ۴، شماره ۲، صفحات ۳۱-۳۹
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