Arens regularity of certain weighted semigroup algebras and countability (Q284676)
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scientific article; zbMATH DE number 6581742
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Arens regularity of certain weighted semigroup algebras and countability |
scientific article; zbMATH DE number 6581742 |
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Arens regularity of certain weighted semigroup algebras and countability (English)
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18 May 2016
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The authors first show that the Arens regularity of a weighted semigroup algebra is stable under certain homomorphisms of semigroups. Thus, they study those semigroups for which the Arens regularity of \(l_{1}(S,w)\) necessities the countability of \(S\). As the main result of this paper, they show that for a wide variety of semigroups the Arens regularity of \(l_{1}(S,w)\) implies that \(S\) is countable.
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Arens regularity
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weighted semigroup algebra
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inverse semigroup
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countable semigroup
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