Nagata rings and directed unions of Artinian subrings.
Néron models and tame ramification
Newton and Schinzel sequences in quadratic fields
We give the maximal length of a Newton or a Schinzel sequence in a quadratic extension of a global field. In the case of a number field, the maximal length of a Schinzel sequence is 1, except in seven particular cases, and the Newton sequences are also finite, except for at most finitely many cases, all real. We give the maximal length of these sequences in the special cases. We have similar results in the case of a quadratic extension of a function field , taking in account that the ring of integers...
Newton Polyhedra and Irreducibility.
Nicht-ausgeartete reguläre Überlagerungen.
Non commutative Krull domains.
Non-unique factorizations in orders of global fields.
Normal polytopes, triangulations, and Koszul algebras.
Normality of monomial ideals in two sets of variables.
Note on modules over Prüfer domains.
Note on the transitivity of pure essential extensions
Note sur un article de Sharif et Woodcock
H. Sharif et C. Woodcock donnent dans [26] une caractérisation des séries formelles à coefficients dans un corps de caractéristique non nulle et algébriques sur ; ils en déduisent simplement l’algébricité du produit de Hadamard ou des diagonales de séries algébriques. (Ces résultats ont aussi été obtenus par T. Harase [14]). Nous donnons ici une démonstration légèrement différente de leur théorème et montrons comment on peut en déduire une généralisation intéressante de la notion de -substitution...
Notes on annihilator conditions in modules over commutative rings.
Notes on generalizations of Bézout rings
In this paper, we give new characterizations of the --Bézout property of trivial ring extensions. Also, we investigate the transfer of this property to homomorphic images and to finite direct products. Our results generate original examples which enrich the current literature with new examples of non--Bézout --Bézout rings and examples of non--Bézout --Bézout rings.