On the permanent radical in topological algebras (Q924028)
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scientific article; zbMATH DE number 5586889
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the permanent radical in topological algebras |
scientific article; zbMATH DE number 5586889 |
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On the permanent radical in topological algebras (English)
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25 July 2009
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Summary: Let \(A\) be a topological algebra. \textit{W.\,Żelazko} [Stud.\ Math.\ 75, No.\,3, 265--272 (1983; Zbl 0529.46040)] asked whether the permanent radical of \(A\) in the class of all topological algebras is equal to the ideal \(I_s (A)\) consisting of all elements of \(A\) possessing small powers. Our aim in this paper is to show that this is always true.
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