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Displaying 61 – 80 of 112

Die Struktur flacher lokaler Erweiterungen lokaler Ringe

B. HERZOG (1981)

Beiträge zur Algebra und Geometrie = Contributions to algebra and geometry

Die Translationshülle und wesentliche Erweiterungen eines zyklischen Ringes.

Mario Petrich, Ursula Müller (1971)

Journal für die reine und angewandte Mathematik

Die Verallgemeinerung eines Satzes von Bourbaki und einige Anwendungen.

Winfried Bruns, Udo Vetter (1975)

Manuscripta mathematica

Differences in sets of lengths of Krull monoids with finite class group

Wolfgang A. Schmid (2005)

Journal de Théorie des Nombres de Bordeaux

Let $H$ be a Krull monoid with finite class group where every class contains some prime divisor. It is known that every set of lengths is an almost arithmetical multiprogression. We investigate which integers occur as differences of these progressions. In particular, we obtain upper bounds for the size of these differences. Then, we apply these results to show that, apart from one known exception, two elementary $p$ -groups have the same system of sets of lengths if and only if they are isomorphic.

Differential characters and characteristic polynomial of Frobenius.

Alexandru Buium (1997)

Journal für die reine und angewandte Mathematik

Differential characters of abelian varieties over p-adic fields.

Alexandru Buium (1995)

Inventiones mathematicae

Differential equations in a linear ring

Barbara Mażbic-Kulma (1971)

Studia Mathematica

Differential equations in characteristic $p$

Marius Van der Put (1995)

Compositio Mathematica

Differential Filtrations and Symbolic Powers of Regualr Primes.

Peter Seibt (1979)

Mathematische Zeitschrift

Differential Galois Theory for an Exponential Extension of $ℂ ((z))$

Magali Bouffet (2003)

Bulletin de la Société Mathématique de France

In this paper we study the formal differential Galois group of linear differential equations with coefficients in an extension of $ℂ ((z))$ by an exponential of integral. We use results of factorization of differential operators with coefficients in such a field to give explicit generators of the Galois group. We show that we have very similar results to the case of $ℂ ((z))$ .