A Cancellation Theorem for Artinian Local Algebras.
A criterion for tangential flatness.
A homological characterization of local complete intersections
A numerical criterion for the permissibility of a blowing-up
A problem on coefficient fields and equations over local rings
A Remark on Two-Dimensional Local Rings with the Property of Approximation.
A set of generators for Ext...(k,k).
A theorem on normal flatness
About Nagata Rings.
Algèbres localement polynomiales
An Abstract Treatment of the Module of Quadratic Forms over a Semi-local Ring.
Arithmetical aspects of saturation of singularities
Artin Approximation and Formal Fibres of Local Rings.
Artin's Theorem on the Solutions of Analytic Equations in Positive Characteristic.
Associated Graded Rings Derived from Integrally Closed Ideals and the Local Homological Conjectures
Berechnung einiger Poincaré-Reihen
Betti numbers and the integral closure of ideals.
Bettireihen von Faserprodukten lokaler Ringe.
Castelnuovo's index of regularity and reduction numbers
Champs de vecteurs et formes différentielles sur une variété des points proches
Let be a smooth manifold, a local algebra in sense of André Weil, the manifold of near points on of kind and the module of vector fields on . We give a new definition of vector fields on and we show that is a Lie algebra over . We study the cohomology of -differential forms. Résumé. On considère une variété différentielle, une algèbre locale au sens d’André Weil, la variété des points proches de d’espèce et le module des champs de vecteurs sur . On donne une nouvelle...