Filtrations by Complete Ideals and Applications
E. Casas Alvero (1993)
Cours de l'institut Fourier
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Displaying similar documents to “A note on unions of ideals and cosets of ideals.”
Filtrations by Complete Ideals and Applications
Some new ideals of sets on the real line
Jan Mycielski (1969)
Colloquium Mathematicae
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Non-standard characterisations of ideals in C(X).
Jeppe Christoffer Dyre (1982)
Mathematica Scandinavica
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Structural properties of ideals
J. E. Baumgartner, A. D. Taylor, S. Wagon
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CONTENTSPreface.............................................................................................. 5Chapter I. Preliminaries................................................................. 61. Notation and terminology.......................................................... 62. Results from the literature......................................................... 93. Definitions and basic properties.............................................. 11Chapter II. Subnormality and...
On ϭ-ideals without maximal extension
Balcerzak, Marek, Wroński, Stanisław (2015-11-17T11:49:55Z)
Acta Universitatis Lodziensis. Folia Mathematica
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When a unital F-algebra has all maximal left (right) ideals closed?
W. Żelazko (2006)
Studia Mathematica
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We prove that a real or complex unital F-algebra has all maximal left ideals closed if and only if the set of all its invertible elements is open. Consequently, such an algebra also automatically has all maximal right ideals closed.
Combinatorics of ideals --- selectivity versus density
A. Kwela, P. Zakrzewski (2017)
Commentationes Mathematicae Universitatis Carolinae
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This note is devoted to combinatorial properties of ideals on the set of natural numbers. By a result of Mathias, two such properties, selectivity and density, in the case of definable ideals, exclude each other. The purpose of this note is to measure the ``distance'' between them with the help of ultrafilter topologies of Louveau.
A characterization of F-algebras with all one-sided ideals closed
W. Żelazko (2005)
Studia Mathematica
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We prove that a real or complex F-algebra has all left and right ideals closed if and only if it is noetherian.
Primary ideals in semigroups.
A. Anjaneyulu (1980)
Semigroup forum
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Minimal and maximal ideals in rings with involution.
Birkenmeier, Gary F., Groenewald, Nico J., Heatherly, Henry E. (1997)
Beiträge zur Algebra und Geometrie
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Semigroups containing no maximal ideals.
I. Fabrici (1990)
Semigroup forum
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On Two-Sided Right Ideals in Chain Domains.
Günter Törner, Christine Bessenrodt (1990)
Forum mathematicum
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Closed ideals in semigroups of continuous selfmaps.
A.M. Forouzanfar (1992)
Semigroup forum
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The Lifting of determinal prime ideals.
Ngo Viet Trung (1996)
Manuscripta mathematica
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Łojasiewicz ideals in Denjoy-Carleman classes
Vincent Thilliez (2013)
Studia Mathematica
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The classical notion of Łojasiewicz ideals of smooth functions is studied in the context of non-quasianalytic Denjoy-Carleman classes. In the case of principal ideals, we obtain a characterization of Łojasiewicz ideals in terms of properties of a generator. This characterization involves a certain type of estimates that differ from the usual Łojasiewicz inequality. We then show that basic properties of Łojasiewicz ideals in the case have a Denjoy-Carleman counterpart.