Filtrations by Complete Ideals and Applications
E. Casas Alvero (1993)
Cours de l'institut Fourier
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Displaying similar documents to “Structural properties 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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A note on unions of ideals and cosets of ideals.
Zandt, Michael (1995)
Beiträge zur Algebra und Geometrie
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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.
Ideal systems of intersection and product type
Bohumil Šmarda (1980)
Archivum Mathematicum
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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.
On isomorphisms between -ideals on
Marek Balcerzak (1990)
Commentationes Mathematicae Universitatis Carolinae
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The history of a general criterium on spaceability
Víctor M. Sánchez (2017)
Open Mathematics
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There are just a few general criteria on spaceability. This survey paper is the history of one of the first ones. Let I1 and I2 be arbitrary operator ideals and E and F be Banach spaces. The spaceability of the set of operators I1(E, F) I2(E, F) is studied. Before stating the criterium, the paper summarizes the main results about lineability and spaceability of differences between particular operator ideals obtained in recent years. They are the seed of the ideas contained in the general...