AbstractWe show that the ring of bounded meromorphic functions on an irreducible compact real analytic set of dimension d is a Prüfer domain of dimension d. Consequently, every finitely generated ideal in this ring can be generated by d+1 elements, and we show that this bound is sharp
Le but de cette thèse est de déterminer la frontière naturelle de méromorphie (lorsqu'elle existe) d...
AbstractWe show that analytic functions defined on a neighborhood of a compact connected subset K of...
28 pages, 1 diagram.Given a nonzero germ h of holomorphic function on (C^n,0), we study the conditio...
AbstractFor an unmixed ideal I in a regular formal power series ring R = k[[x1,…, xn]] with the Krul...
A ring D is called an SFT ring if for each ideal I of D, there exist a finitely generated ideal J of...
The aim of this thesis is to determine the natural boundary of meromorphy (when it exists) of an Eul...
We describe bounded, holomorphic functions on the complex 2-disc, that admit meromorphic extension t...
Let C be a ring of (not necessarily bounded) real-valued functions with a common domain X such that ...
AbstractLet D be a bounded domain in the complex plane whose boundary consists of finitely many pair...
AbstractWe study applications of discrete valuations to ideals in analytically irreducible domains, ...
Let C*(X, A) denote the ring of bounded continuous functions on a (Hausdorff) topological space X wi...
A class of Fréchet algebras of real analytic functions is constructed, with a weaker condition than ...
When does a Noetherian commutative ring R have uniform symbolic topologies (USTP) on primes -- read...
AbstractWe provide a new proof of the Wong–Rosay theorem, using the structure of the ring of holomor...
AbstractLet U = U0 × U1 × … × Un be an open polyring in a non-Archimedean valued, locally non-compac...
Le but de cette thèse est de déterminer la frontière naturelle de méromorphie (lorsqu'elle existe) d...
AbstractWe show that analytic functions defined on a neighborhood of a compact connected subset K of...
28 pages, 1 diagram.Given a nonzero germ h of holomorphic function on (C^n,0), we study the conditio...
AbstractFor an unmixed ideal I in a regular formal power series ring R = k[[x1,…, xn]] with the Krul...
A ring D is called an SFT ring if for each ideal I of D, there exist a finitely generated ideal J of...
The aim of this thesis is to determine the natural boundary of meromorphy (when it exists) of an Eul...
We describe bounded, holomorphic functions on the complex 2-disc, that admit meromorphic extension t...
Let C be a ring of (not necessarily bounded) real-valued functions with a common domain X such that ...
AbstractLet D be a bounded domain in the complex plane whose boundary consists of finitely many pair...
AbstractWe study applications of discrete valuations to ideals in analytically irreducible domains, ...
Let C*(X, A) denote the ring of bounded continuous functions on a (Hausdorff) topological space X wi...
A class of Fréchet algebras of real analytic functions is constructed, with a weaker condition than ...
When does a Noetherian commutative ring R have uniform symbolic topologies (USTP) on primes -- read...
AbstractWe provide a new proof of the Wong–Rosay theorem, using the structure of the ring of holomor...
AbstractLet U = U0 × U1 × … × Un be an open polyring in a non-Archimedean valued, locally non-compac...
Le but de cette thèse est de déterminer la frontière naturelle de méromorphie (lorsqu'elle existe) d...
AbstractWe show that analytic functions defined on a neighborhood of a compact connected subset K of...
28 pages, 1 diagram.Given a nonzero germ h of holomorphic function on (C^n,0), we study the conditio...