Normal restrictions of the noncofinal ideal on
Pierre Matet (2013)
Fundamenta Mathematicae
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We discuss the problem of whether there exists a restriction of the noncofinal ideal on that is normal.
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Displaying similar documents to “Some properties of Lorenzen ideal systems”
Normal restrictions of the noncofinal ideal on
Erratum to -primary ideals of a commutative ring
Gülşen Ulucak, Ece Yetkin Çelikel (2020)
Czechoslovak Mathematical Journal
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Annihilators in normal autometrized algebras
Ivan Chajda, Jiří Rachůnek (2001)
Czechoslovak Mathematical Journal
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The concepts of an annihilator and a relative annihilator in an autometrized -algebra are introduced. It is shown that every relative annihilator in a normal autometrized -algebra is an ideal of and every principal ideal of is an annihilator of . The set of all annihilators of forms a complete lattice. The concept of an -polar is introduced for every ideal of . The set of all -polars is a complete lattice which becomes a two-element chain provided is prime. The -polars...
The ideal (a) is not generated
Marta Frankowska, Andrzej Nowik (2011)
Colloquium Mathematicae
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We prove that the ideal (a) defined by the density topology is not generated. This answers a question of Z. Grande and E. Strońska.
A characterization of the meager ideal
Piotr Zakrzewski (2015)
Commentationes Mathematicae Universitatis Carolinae
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We give a classical proof of the theorem stating that the -ideal of meager sets is the unique -ideal on a Polish group, generated by closed sets which is invariant under translations and ergodic.
On spaces with the ideal convergence property
Jakub Jasinski, Ireneusz Recław (2008)
Colloquium Mathematicae
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Let I ⊆ P(ω) be an ideal. We continue our investigation of the class of spaces with the I-ideal convergence property, denoted (I). We show that if I is an analytic, non-countably generated P-ideal then (I) ⊆ s₀. If in addition I is non-pathological and not isomorphic to , then (I) spaces have measure zero. We also present a characterization of the (I) spaces using clopen covers.