Axiomatisations simples des theories des corps de rolle.
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Danielle Gondard-Cozette (1990)
Manuscripta mathematica
Fabrizio Andreatta, Olivier Brinon (2010)
Annales scientifiques de l'École Normale Supérieure
Dans ce travail nous développons un analogue relatif de la théorie de Sen pour les -représentations. On donne des applications à la théorie des représentations -adiques, en la reliant à la théorie des -modules relatifs, et à celle des modules de Higgs -adiques développée par G. Faltings.
Andy R. Magid (2011)
Banach Center Publications
The differential automorphism group, over F, Π₁(F₁) of the Picard-Vessiot closure F₁ of a differential field F is a proalgebraic group over the field of constants of F, which is assumed to be algebraically closed of characteristic zero, and its category of modules is equivalent to the category of differential modules over F. We show how this group and the category equivalence behave under a differential extension E ⊃ F, where is also algebraically closed.
Lamrini Uahabi, Kaoutar, Zaoui, Mohammed (2007)
International Journal of Mathematics and Mathematical Sciences
Köck, Bernhard (2004)
Beiträge zur Algebra und Geometrie
Gundelfinger (1871)
Mathematische Annalen
Werner Blum (1974)
Manuscripta mathematica
P. ROQUETTE (1971)
Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry
Michael Pohst (1975)
Journal für die reine und angewandte Mathematik
Heinz Wähling (1974/1975)
Jahresbericht der Deutschen Mathematiker-Vereinigung
Königsberger (1869)
Mathematische Annalen
V. Diekert, U. Jannsen, K. Winnberg (1982)
Journal für die reine und angewandte Mathematik
Manfred Knebusch (1977)
Mathematische Zeitschrift
N. Roytwarf, Yosef Yomdin (1997)
Annales de l'institut Fourier
One of the classical Bernstein inequalities compares the maxima of a polynomial of a given degree on the interval [-1,1] and on the ellipse in the complex plane with the focuses -1, 1 and the semiaxes . We prove a similar inequality for a branch of an algebraic function of a given degree on the maximal disk of its regularity, with the explicitly given constant, depending on the degree only. In particular, this improves a recent inequality of Fefferman and Narasimhan and answers one of their questions....
N.H. Abel (1826)
Journal für die reine und angewandte Mathematik
Karl Mathiak (1972)
Journal für die reine und angewandte Mathematik
Manfred Knebusch, Michael J. Wright (1976)
Journal für die reine und angewandte Mathematik
Tsit Yuen Lam, David B. Leep, Jean-Pierre Tignol (1993)
Publications Mathématiques de l'IHÉS
Hulpke, Alexander (1995)
Experimental Mathematics
Janusz Zieliński (2010)
Open Mathematics
Border bases are an alternative to Gröbner bases. The former have several more desirable properties. In this paper some constructions and operations on border bases are presented. Namely; the case of a restriction of an ideal to a polynomial ring (in a smaller number of variables), the case of the intersection of two ideals, and the case of the kernel of a homomorphism of polynomial rings. These constructions are applied to the ideal of relations and to factorizable derivations.