Factorial extensions of regular local rings and invariants of finite groups.
Factorisation de Ritt pour les polynômes exponentiels formels
Factorisations de morphismes d'anneaux commutatifs
Failure of splitting from module-finite extension rings.
Fast invertierbare Primideale der kommutativen Ringe.
Fermeture intégrale et changement de base
Fiber cones and the integral closure of ideals.
Let (R,m) be a Noetherian local ring and let I C R be an ideal. This paper studies the question of when m I is integrally closed. Particular attention is focused on the case R is a regular local ring and I is a reduced ideal. This question arose through a question posed by Eisenbud and Mazur on the existence of evolutions.
Field Composites with a Bounded Purely Inseparable Factor.
Finite dimensional rings of quotients.
In this paper we characterize commutative rings with finite dimensional classical ring of quotients. To illustrate the diversity of behavior of these rings we examine the case of local rings and FPF rings. Our results extend earlier work on rings with zero-dimensional rings of quotients.
Finite Polynomial Orbits in Finitely Generated Domains.
Finite Separable Field Extensions With Prescribed Extensions of Valuations. II
Flatness testing over singular bases
We show that non-flatness of a morphism φ:X→ Y of complex-analytic spaces with a locally irreducible target of dimension n manifests in the existence of vertical components in the n-fold fibred power of the pull-back of φ to the desingularization of Y. An algebraic analogue follows: Let R be a locally (analytically) irreducible finite type ℂ-algebra and an integral domain of Krull dimension n, and let S be a regular n-dimensional algebra of finite type over R (but not necessarily a finite R-module),...
Forms and mappings. I: Generalities
Formules explicites intervenant dans la division euclidienne des polynômes à coefficients dans un anneau unitaire et applications diverses
Fully rigid systems of modules
Functorial rings of quotients 2: the ring of hyper-fractions.
Further generalizations of the Fibonacci-coefficient polynomials.