Add to ORKGWe give a necessary and sufficient condition for an extension of valuation rings containing $\bf Q$ to be a filtered direct limit of smooth algebras.Comment: In this form will appear in Bull. Math. Soc. Sci. Math. Roumanie, 65(113), (2022), No 2. arXiv admin note: text overlap with arXiv:1910.0912
$\newcommand{\R}{\mathbb R} \newcommand{\rweyl}{\mathcal{A}_1(\R)}$ The first Weyl algebra $\mathcal...
AbstractSuppose that k is an arbitrary field. Let k[[x1,…,xn]] be the ring of formal power series in...
AbstractLet V (resp. D) be a valuation domain (resp. SFT Prüfer domain), I a proper ideal, and V̂ (r...
AbstractIf a valuation ring V on a simple transcendental field extension K0(X) is such that the resi...
Let $R$ be a complete equicharacteristic noetherian local domain and $\nu$ a valuation of its field ...
Valuation rings occur in a wide variety of situations. In this paper we bring together many basic re...
In this paper we present a characterization for the defect of a simple algebraic extensions of value...
Let (R; m; k) be a local noetherian domain with field of fractions K and R_v a valuation ring, domin...
AbstractLet A be a P.I. algebra over a finite field F. Let F = R̄ = RP be the residue field of a dis...
AbstractA subring B′ of a division algebra D is called a valuation ring of D if x or x−1 is containe...
In this paper we study rank one discrete valuations of the field k((X1, . . . , Xn)) whose center in...
Let K=Q(θ) be an algebraic number field with θ in the ring A K of algebraic integers of K and f(x) ...
AbstractRecently A. Aiba (J. Number Theory 102 (2003) 118) gave a criterion whether the valuation ri...
In the article we introduce a valuation function over a field [1]. Ring of non negative elements and...
AbstractWe continue the study of a theory which is a valued analogue of the theory of regular rings ...
$\newcommand{\R}{\mathbb R} \newcommand{\rweyl}{\mathcal{A}_1(\R)}$ The first Weyl algebra $\mathcal...
AbstractSuppose that k is an arbitrary field. Let k[[x1,…,xn]] be the ring of formal power series in...
AbstractLet V (resp. D) be a valuation domain (resp. SFT Prüfer domain), I a proper ideal, and V̂ (r...
AbstractIf a valuation ring V on a simple transcendental field extension K0(X) is such that the resi...
Let $R$ be a complete equicharacteristic noetherian local domain and $\nu$ a valuation of its field ...
Valuation rings occur in a wide variety of situations. In this paper we bring together many basic re...
In this paper we present a characterization for the defect of a simple algebraic extensions of value...
Let (R; m; k) be a local noetherian domain with field of fractions K and R_v a valuation ring, domin...
AbstractLet A be a P.I. algebra over a finite field F. Let F = R̄ = RP be the residue field of a dis...
AbstractA subring B′ of a division algebra D is called a valuation ring of D if x or x−1 is containe...
In this paper we study rank one discrete valuations of the field k((X1, . . . , Xn)) whose center in...
Let K=Q(θ) be an algebraic number field with θ in the ring A K of algebraic integers of K and f(x) ...
AbstractRecently A. Aiba (J. Number Theory 102 (2003) 118) gave a criterion whether the valuation ri...
In the article we introduce a valuation function over a field [1]. Ring of non negative elements and...
AbstractWe continue the study of a theory which is a valued analogue of the theory of regular rings ...
$\newcommand{\R}{\mathbb R} \newcommand{\rweyl}{\mathcal{A}_1(\R)}$ The first Weyl algebra $\mathcal...
AbstractSuppose that k is an arbitrary field. Let k[[x1,…,xn]] be the ring of formal power series in...
AbstractLet V (resp. D) be a valuation domain (resp. SFT Prüfer domain), I a proper ideal, and V̂ (r...