On non-removable ideals in commutative locally convex algebras
W. Żelazko (1983)
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Displaying similar documents to “Non-removable ideals in commutative topological algebras with separately continuous multiplication.”
On non-removable ideals in commutative locally convex algebras
Inverse elements in extensions of Banach algebras
Vladimír Müller (1984)
Studia Mathematica
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Non-removable ideals in commutative Banach algebras
V. Müller (1982)
Studia Mathematica
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A characterization of commutative Fréchet algebras with all ideals closed
W. Żelazko (2000)
Studia Mathematica
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Let A be a commutative unital Fréchet algebra, i.e. a completely metrizable topological algebra. Our main result states that all ideals in A are closed if and only if A is a noetherian algebra
On ideal of joint topological divisors of zero
L. Lindahl (1975)
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On ideals consisting of topological zero divisors
Antoni Wawrzyńczyk (2000)
Studia Mathematica
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The class ω(A) of ideals consisting of topological zero divisors of a commutative Banach algebra A is studied. We prove that the maximal ideals of the class ω(A) are of codimension one.
On domination and extensions of Banach algebras
V. Müller (1982)
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Removability of ideals in commutative Banach algebras
Vladimír Müller (1984)
Studia Mathematica
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A -algebra without generalized topological divisors of zero
Hugo Peimbert, Wiesław Żelazko (1985)
Studia Mathematica
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Superior subalgebras and ideals of BCK/BCI-algebras
Young Bae Jun, Seok Zun Song (2016)
Discussiones Mathematicae General Algebra and Applications
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The notions of superior subalgebras and (commutative) superior ideals are introduced, and their relations and related properties are investigated. Conditions for a superior ideal to be commutative are provided.
A characterization of maximal regular ideals in lmc algebras
Maria Fragoulopoulou (1992)
Studia Mathematica
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A question of Warner and Whitley concerning a nonunital version of the Gleason-Kahane-Żelazko theorem is considered in the context of nonnormed topological algebras. Among other things it is shown that a closed hyperplane M of a commutative symmetric F*-algebra E with Lindelöf Gel'fand space is a maximal regular ideal iff each element of M belongs to some closed maximal regular ideal of E.
Foldness of Commutative Ideals in BCK-algebras
Celestin Lele, Salissou Moutari (2006)
Discussiones Mathematicae - General Algebra and Applications
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This paper deals with some properties of n-fold commutative ideals and n-fold weak commutative ideals in BCK-algebras. Afterwards, we construct some algorithms for studying foldness theory of commutative ideals in BCK-algebras.