On the resolvent of an ideal and some applications.
Bouziane, Driss, Rody, Abdelilah Kandri (2003)
International Journal of Mathematics and Mathematical Sciences
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Bouziane, Driss, Rody, Abdelilah Kandri (2003)
International Journal of Mathematics and Mathematical Sciences
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Piotr Kalemba (2015)
Open Mathematics
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The ideal (v0) is known in the literature and is naturally linked to the structure [ω]ω. We consider some natural counterpart of the ideal (v0) related in an analogous way to the structure Dense(ℚ) and investigate its combinatorial properties. By the use of the notion of ideal type we prove that under CH this ideal is isomorphic to (v0).
Boďa, E., Fernbauer, R. (2003)
Acta Mathematica Universitatis Comenianae. New Series
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Kumiko Nishioka (1990)
Acta Arithmetica
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Voskoglou, M.G. (1990)
Publications de l'Institut Mathématique. Nouvelle Série
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Paolo Lella, Margherita Roggero (2011)
Rendiconti del Seminario Matematico della Università di Padova
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J. Siciak (1971)
Annales Polonici Mathematici
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Rosłanowski, Andrzej, Shelah, Saharon (1997)
Journal of Applied Analysis
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R. Ger (1971)
Annales Polonici Mathematici
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Jason Lucier (2006)
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Bakkari, Chahrazade, Mahdou, Najib (2009)
Beiträge zur Algebra und Geometrie
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Norbert Hegyvári, François Hennecart (2009)
Acta Arithmetica
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Scheja, Günter, Storch, Uwe (1996)
Beiträge zur Algebra und Geometrie
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Alessandro Perotti (1998)
Publicacions Matemàtiques
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Let I(f) be a zero-dimensional ideal in C[z1, ..., zn] defined by a mapping f. We compute the logarithmic residue of a polynomial g with respect to f. We adapt an idea introduced by Aizenberg to reduce the computation to a special case by means of a limiting process. We then consider the total sum of local residues of g w.r.t. f. If the zeroes of f are simple, this sum can be computed from a finite number of logarithmic residues. In...
Luís R. A. Finotti (2009)
Acta Arithmetica
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