Filtrations by Complete Ideals and Applications
E. Casas Alvero (1993)
Cours de l'institut Fourier
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Displaying similar documents to “Orthogonal σ-ideals and almost disjoint families”
Filtrations by Complete Ideals and Applications
Some new ideals of sets on the real line
Jan Mycielski (1969)
Colloquium Mathematicae
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A note on unions of ideals and cosets of ideals.
Zandt, Michael (1995)
Beiträge zur Algebra und Geometrie
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On unique and almost unique factorization of complete ideals II.
Steven Dale Cutkosky (1989)
Inventiones mathematicae
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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 isomorphisms between -ideals on
Marek Balcerzak (1990)
Commentationes Mathematicae Universitatis Carolinae
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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.
Non-standard characterisations of ideals in C(X).
Jeppe Christoffer Dyre (1982)
Mathematica Scandinavica
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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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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.
On game ideals
Andrzej Rosłanowski (1990)
Colloquium Mathematicae
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Closed ideals in semigroups of continuous selfmaps.
A.M. Forouzanfar (1992)
Semigroup forum
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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.