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Displaying 381 – 400 of 418

Un problème de descente

Laurent Moret-Bailly (1996)

Bulletin de la Société Mathématique de France

Un procédé d'élimination effective et quelques applications

Felice Ronga (1995)

Annales de l'institut Fourier

À l’aide du Nullstellensatz effectif, on trouve des bornes inférieure et supérieure explicites des valeurs critiques non nulles d’un polynôme, en termes des coefficients de celui-ci.

Une généralisation du théorème de Tate-Sen-Ax

Jean-Pierre Wintenberger (1987/1988)

Groupe de travail d'analyse ultramétrique

Une remarque sur le théorème de Puiseux.

W.J. Guerrier (1967)

Monatshefte für Mathematik

Universally Koszul algebras defined by monomials

Aldo Conca (2002)

Rendiconti del Seminario Matematico della Università di Padova

Unramified Kummer extensions of prime power degree.

C. Greither (1989)

Manuscripta mathematica

Uppers to zero in $R [x]$ and almost principal ideals

Keivan Borna, Abolfazl Mohajer-Naser (2013)

Czechoslovak Mathematical Journal

Let $R$ be an integral domain with quotient field $K$ and $f (x)$ a polynomial of positive degree in $K [x]$ . In this paper we develop a method for studying almost principal uppers to zero ideals. More precisely, we prove that uppers to zero divisorial ideals of the form $I = f (x) K [x] \cap R [x]$ are almost principal in the following two cases: – $J$ , the ideal generated by the leading coefficients of $I$ , satisfies $J^{- 1} = R$ . – $I^{- 1}$ as the $R [x]$ -submodule of $K (x)$ is of finite type. Furthermore we prove that for $I = f (x) K [x] \cap R [x]$ we have: – $I^{- 1} \cap K [x] = (I :_{K (x)} I)$ . – If there exists $p / q \in I^{- 1} - K [x]$ , then $(q, f) \neq 1$ ...

When is each proper overring of R an S(Eidenberg)-domain?

Noômen Jarboui (2002)

Publicacions Matemàtiques

A domain R is called a maximal "non-S" subring of a field L if R ⊂ L, R is not an S-domain and each domain T such that R ⊂ T ⊆ L is an S-domain. We show that maximal "non-S" subrings R of a field L are the integrally closed pseudo-valuation domains satisfying dim(R) = 1, dimv(R) = 2 and L = qf(R).

When is $Z [α]$ seminormal or $t$ -closed?

Martine Picavet-L'Hermitte (1999)

Bollettino dell'Unione Matematica Italiana

Sia a un intero algebrico con il polinomio minimale $f (X)$ . Si danno condizioni necessarie e sufficienti affinché l'anello $Z [α]$ sia seminormale o $t$ -chiuso per mezzo di $f (X)$ . Come applicazione, in particolare, si ottiene che se $f (X) = X^{3} + a X + b$ , $a$ , $b \in Z$ le condizioni sono espresse mediante il discriminante de $f (X)$ .

Zero-divisors of content algebras

Peyman Nasehpour (2010)

Archivum Mathematicum

In this article, we prove that in content extentions minimal primes extend to minimal primes and discuss zero-divisors of a content algebra over a ring who has Property (A) or whose set of zero-divisors is a finite union of prime ideals. We also examine the preservation of diameter of zero-divisor graph under content extensions.