Filtrations by Complete Ideals and Applications
E. Casas Alvero (1993)
Cours de l'institut Fourier
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E. Casas Alvero (1993)
Cours de l'institut Fourier
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Paweł Gniadek (1996)
Annales Polonici Mathematici
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We extend results on reconstructing a polynomial automorphism from its restriction to the coordinate hyperplanes to some wider class of algebraic surfaces. We show that the algorithm proposed by M. Kwieciński in [K2] and based on Gröbner bases works also for this class of surfaces.
Jan Mycielski (1969)
Colloquium Mathematicae
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Florian Pelupessy, Andreas Weiermann (2012)
Fundamenta Mathematicae
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We give bad (with respect to the reverse inclusion ordering) sequences of monomial ideals in two variables with Ackermannian lengths and extend this to multiple recursive lengths for more variables.
Zandt, Michael (1995)
Beiträge zur Algebra und Geometrie
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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.
Abraham Seidenberg (1969)
Publications Mathématiques de l'IHÉS
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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...
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.
Luis F. Cáceres-Duque (2003)
Discussiones Mathematicae - General Algebra and Applications
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We give an effective procedure to find minimal bases for ideals of the ring of polynomials over the integers.
Jeppe Christoffer Dyre (1982)
Mathematica Scandinavica
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Marek Balcerzak (1990)
Commentationes Mathematicae Universitatis Carolinae
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Domokos, Mátyás (1999)
Beiträge zur Algebra und Geometrie
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