Topological algebras with maximal regular ideals closed

• Autorzy: Mati Abel
• Języki publikacji: EN

Abstrakty

EN

It is shown that all maximal regular ideals in a Hausdorff topological algebra A are closed if the von Neumann bornology of A has a pseudo-basis which consists of idempotent and completant absolutely pseudoconvex sets. Moreover, all ideals in a unital commutative sequentially Mackey complete Hausdorff topological algebra A with jointly continuous multiplication and bounded elements are closed if the von Neumann bornology of A is idempotently pseudoconvex.

Słowa kluczowe

EN

Topological algebra; von Neumann bornology; Closedness of maximal ideals

Kategorie tematyczne

• 46H10: Ideals and subalgebras
• 46H20: Structure, classification of topological algebras
• 46H05: General theory of topological algebras

• Wydawca: De Gruyter Open
• Czasopismo: Open Mathematics
• Rocznik: 2012
• Tom: 10
• Numer: 3
• Strony: 1054-1059

Daty

wydano

2012-06-01

online

2012-03-24

Twórcy

autor

Mati Abel

• University of Tartu

Bibliografia

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Identyfikatory

DOI

10.2478/s11533-012-0041-7