Some remarks on the altitude inequality

Noômen Jarboui

Displaying similar documents to “Some remarks on the altitude inequality”

Stability of some integral domains on a pullback

Tariq Shah, Sadia Medhat (2012)

Matematički Vesnik

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Zero-dimensional pairs.

Karim, Driss (2003)

Beiträge zur Algebra und Geometrie

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On Strong Going-Between, Going-Down, And Their Universalizations, II

David E. Dobbs, Gabriel Picavet (2003)

Annales mathématiques Blaise Pascal

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We consider analogies between the logically independent properties of strong going-between (SGB) and going-down (GD), as well as analogies between the universalizations of these properties. Transfer results are obtained for the (universally) SGB property relative to pullbacks and Nagata ring constructions. It is shown that if $A \subseteq B$ are domains such that $A$ is an LFD universally going-down domain and $B$ is algebraic over $A$ , then the inclusion map $A [X_{1}, \dots, X_{n}] ↪ B [X_{1}, \dots, X_{n}]$ satisfies GB for each $n \geq 0$ . However, for any...

Residual representation of algebraic-geometric codes.

Hübl, Reinhold (2001)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Multiplicity estimate for solutions of extended Ramanujan’s system

Evgeniy Zorin (2012)

Journal de Théorie des Nombres de Bordeaux

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We establish a new for solutions of a differential system extending Ramanujan’s classical differential relations. This result can be useful in the study of arithmetic properties of values of Riemann zeta function at odd positive integers (Nesterenko, 2011).

Remarks on the Cayley-van der Waerden-Chow form.

Achilles, Rüdiger, Stückrad, Jürgen (2007)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Computing Hilbert-Kunz functions of 1-dimensional graded rings.

Kreuzer, Martin (2007)

Zeszyty Naukowe Uniwersytetu Jagiellońskiego. Universitatis Iagellonicae Acta Mathematica

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Approximation exponents for algebraic functions in positive characteristic

Bernard de Mathan (1992)

Acta Arithmetica

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In this paper, we study rational approximations for algebraic functions in characteristic p > 0. We obtain results for elements satisfying an equation of the type $α = (A α^{q} + B) / (C α^{q} + D)$ , where q is a power of p.

Centers in domains with quadratic growth

Agata Smoktunowicz (2005)

Open Mathematics

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Let F be a field, and let R be a finitely-generated F-algebra, which is a domain with quadratic growth. It is shown that either the center of R is a finitely-generated F-algebra or R satisfies a polynomial identity (is PI) or else R is algebraic over F. Let r ∈ R be not algebraic over F and let C be the centralizer of r. It is shown that either the quotient ring of C is a finitely-generated division algebra of Gelfand-Kirillov dimension 1 or R is PI.