Extensions factorielles
Factorial extensions of regular local rings and invariants of finite groups.
Factorial Fermat curves over the rational numbers
A polynomial f in the set {Xⁿ+Yⁿ, Xⁿ +Yⁿ-Zⁿ, Xⁿ +Yⁿ+Zⁿ, Xⁿ +Yⁿ-1} lends itself to an elementary proof of the following theorem: if the coordinate ring over ℚ of f is factorial, then n is one or two. We give a list of problems suggested by this result.
Factorialite de l΄algebre affine de certaines formes quadratiques
Factoriality of a ring of holomorphic functions
Finite cyclic groups and the k-HFD property
Finiteness theorems for factorizations.
Fonctions arithmétiques [Book]
Generalized GCD rings.
Globale Ringe und Moduln.
Homogeneous-rational manifolds and unique factorization
Ideal class (semi)groups and atomicity in Prüfer domains
We explore the connection between atomicity in Prüfer domains and their corresponding class groups. We observe that a class group of infinite order is necessary for non-Noetherian almost Dedekind and Prüfer domains of finite character to be atomic. We construct a non-Noetherian almost Dedekind domain and exhibit a generating set for the ideal class semigroup.
Japanische und geometrische Globale Ringe.
Le groupe des classes de l'algèbre affine d'une forme quadratique
Modules réflexifs et anneaux factoriels
Monomial Gorenstein Ideals.
Multigraded factorial rings and Fano varieties with torus action.
On A Problem Of Samuel
On c-semigroups
On Prüfer v-Multiplication Domains.