C-anneaux, E-anneaux et formule de la dimension
Carrés cartésiens et anneaux de pseudo-valuation
Carrés cartésiens et couples d'anneaux ayant les mêmes idéaux premiers
Centres and Fixed-Point Rings of Artinian Rings.
Characterization of irreducible polynomials over a special principal ideal ring
A commutative ring with unity is called a special principal ideal ring (SPIR) if it is a non integral principal ideal ring containing only one nonzero prime ideal, its length is the index of nilpotency of its maximal ideal. In this paper, we show a characterization of irreducible polynomials over a SPIR of length . Then, we give a sufficient condition for a polynomial to be irreducible over a SPIR of any length .
Classes of commutative rings characterized by going-up and going-down behavior
Clôture intégrale des idéaux et équisingularité
This text has two parts. The first one is the essentially unmodified text of our 1973-74 seminar on integral dependence in complex analytic geometry at the Ecole Polytechnique with J-J. Risler’s appendix on the Łojasiewicz exponents in the real-analytic framework. The second part is a short survey of more recent results directly related to the content of the seminar.The first part begins with the definition and elementary properties of the order function associated to an ideal of a reduced analytic...
Cohomologie différentiable des algèbres de polynômes de leurs localisées ou de leurs complétées, et des variétés
Commutative domains large in their -adic completions
Commutative Rings and Binomial Coefficients.
Commutative rings whose principal ideals are annihilators
Commuting polynomial vectors over an integral domain
Comportement des de Bass dans les extensions plates
Computing -removed -orderings and -orderings of order
We develop a recursive method for computing the -removed -orderings and -orderings of order the characteristic sequences associated to these and limits associated to these sequences for subsets of a Dedekind domain This method is applied to compute these objects for and .
Conducteur, descente et pincement
Une somme amalgamée de schémas est décrite localement par un produit fibré d’anneaux. Ce texte donne un résultat global d’existence (§5.4) de schémas définis comme certaines sommes amalgamées et un procédé algébrique (§2.2) pour décrire les modules sur produits fibrés d’anneaux correspondants.
Conducteurs d'Artin des caractères réels.
Conductive Integral Domains as Pullbacks.
Conjecture Jacobienne et opérateurs différentiels
Connectedness Properties of Polynomial Maps Between Affine Spaces.
Conservation of the noetherianity by perfect transcendental field extensions.