Ideal systems of intersection and product type
Bohumil Šmarda (1980)
Archivum Mathematicum
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Bohumil Šmarda (1980)
Archivum Mathematicum
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Ali, Majid M. (1996)
Beiträge zur Algebra und Geometrie
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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...
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...
E. Casas Alvero (1993)
Cours de l'institut Fourier
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Keiji Izuchi (1976)
Studia Mathematica
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Jörg Brendle, Diego Alejandro Mejía (2014)
Fundamenta Mathematicae
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The Rothberger number (ℐ) of a definable ideal ℐ on ω is the least cardinal κ such that there exists a Rothberger gap of type (ω,κ) in the quotient algebra (ω)/ℐ. We investigate (ℐ) for a class of ideals, the fragmented ideals, and prove that for some of these ideals, like the linear growth ideal, the Rothberger number is ℵ₁, while for others, like the polynomial growth ideal, it is above the additivity of measure. We also show that it is consistent that there are infinitely many (even...
Jan Mycielski (1969)
Colloquium Mathematicae
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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.
Zandt, Michael (1995)
Beiträge zur Algebra und Geometrie
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Simões, Marilda A. (1987)
Portugaliae mathematica
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Weinert, H.J., Sen, M.K., Adhikari, M.R. (1996)
Mathematica Pannonica
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