Le Nullstellensatz de Hilbert et les Polynomes à Valeurs Entières.
Length 2 variables of A[x,y] and transfer
We construct and study length 2 variables of A[x,y] (A is a commutative ring). If A is an integral domain, we determine among these variables those which are tame. If A is a UFD, we prove that these variables are all stably tame. We apply this construction to show that some polynomials of A[x₁,...,xₙ] are variables using transfer.
Length of Polynomial Ascending Chains and Primitive Recursiveness.
Les idéaux premiers de l'anneau des polynomes à valeurs entières.
Les modules projectifs de type fini sur un anneau de polynômes sur un corps sont libres
Libération des modules projectifs sur certains anneaux de polynômes
Linear Diophantic Equations and Local Cohomology.
Linear forms on free modules over certain local ring
Linear gradings of polynomial algebras
Let k be a field, let be a finite group. We describe linear -gradings of the polynomial algebra k[x 1, ..., x m] such that the unit component is a polynomial k-algebra.
Local derivations in polynomial and power series rings
We give a description of all local derivations (in the Kadison sense) in the polynomial ring in one variable in characteristic two. Moreover, we describe all local derivations in the power series ring in one variable in any characteristic.
Localization of the K-Theory of Polynomial Extensions.
Locally Polynomial Algebras are Symmetrie Algebras