On commutative FGI-Rings.
On ring derivations and quadratic functionals.
On some properties of pure morphisms of commutative rings.
On the formal inverse of polynomial endomorphisms
On the Jacobian criterion of formal smoothness.
We give a short proof of the Jacobian criterion of formal smoothness using the Lichtenbaum-Schlessinger cotangent complex.
On the module of homomorphisms on finitely generated projective modules
On the Transitvity of regular differential Forms.
Outer automorphisms of endomorphism algebras
Commutative rings over which no endomorphism algebra has an outer automorphism are studied.
Polynômes à valeurs entières ainsi que leurs dérivées
Pure morphisms of commutative rings are effective descent morphisms for modules. A new proof.
Quasiprime and d-prime ideals in commutative differential rings
Real closures of commutative rings. II.
Remarks on iteration of formal automorphisms.
Resolutions by mapping cones.
Résultats récents sur l'approximation des morphismes en algèbre commutative
Separable -free modules with almost trivial dual
An -module has an almost trivial dual if there are no epimorphisms from to the free -module of countable infinite rank . For every natural number , we construct arbitrarily large separable -free -modules with almost trivial dual by means of Shelah’s Easy Black Box, which is a combinatorial principle provable in ZFC.
Spezielle Algebren und transitive Operationen.
Stiff derivations of commutative rings
Supplement to the paper "Improper intersections in complex analytic geometry" (Dissertationes Math. 391 (2001))
Sur la linéarité de la fonction de Artin