Principal ideal theorems for holomorphy rings in fields.
Product formulas for resultants and Chow forms.
Produit tensoriel et complexe cotangent.
Profondeur d’anneaux d’invariants en caractéristique
Projective covers and minimal free resolutions.
Projective modules and approximation couples
Projective modules and prime submodules
In this paper, we use Zorn’s Lemma, multiplicatively closed subsets and saturated closed subsets for the following two topics: (i) The existence of prime submodules in some cases, (ii) The proof that submodules with a certain property satisfy the radical formula. We also give a partial characterization of a submodule of a projective module which satisfies the prime property.
Projective modules over real affine algebras.
Projective Resolutions of Cohen-Macaulay Algebras.
Projectivity of pure ideals
Projektive Moduln über Polynomringen A[t1,...,Tm] mit einem regulären Grundring A.
Proof of the combinatorial nullstellensatz over integral domains, in the spirit of Kouba.
Proprietá di ideali in domini d'integritá noetheriani
Propriété Ci revue et généralisée
Propriété d'approximation pour les éléments algébriques
Proximity relations for real rank one valuations dominating a local regular ring.
We study 0-dimensional real rank one valuations centered in a regular local ring of dimension n > 2 such that the associated valuation ring can be obtained from the regular ring by a sequence of quadratic transforms. We define two classical invariants associated to the valuation (the refined proximity matrix and the multiplicity sequence) and we show that are equivalent data of the valuation.
Prüfer -groups
Prüfer rings of finite character.
Prüfer rings with involution
The concept of a Prüfer ring is studied in the case of rings with involution such that it coincides with the corresponding notion in the case of commutative rings.
Pseudobetragsfunktionen auf Quotientenkörpern von Dedekindringen.