Polynomials with minimal value set over Galois rings.
Positive characteristic analogs of closed polynomials
The notion of a closed polynomial over a field of zero characteristic was introduced by Nowicki and Nagata. In this paper we discuss possible ways to define an analog of this notion over fields of positive characteristic. We are mostly interested in conditions of maximality of the algebra generated by a polynomial in a respective family of rings. We also present a modification of the condition of integral closure and discuss a condition involving partial derivatives.
Post algebras in 3-rings.
Presentation depth and the Lipman-Sathaye Jacobian theorem.
Primitive elements in rings of holomorphic functions.
Primitives des fonctions élémentaires
Product formulas for resultants and Chow forms.
Projective modules and approximation couples
Projektive Moduln über Polynomringen A[t1,...,Tm] mit einem regulären Grundring A.
Proprietá di ideali in domini d'integritá noetheriani
Pullbacks and universal catenarity
Pure morphisms of commutative rings are effective descent morphisms for modules. A new proof.
Purity of the branch locus and Lefschetz theorems
Quasiprime and d-prime ideals in commutative differential rings
Quotient Rings of Polynomial Rings.
Real closures of commutative rings. I.
Real closures of commutative rings. II.
Regularity and intersections of bracket powers
Among reduced Noetherian prime characteristic commutative rings, we prove that a regular ring is precisely that where the finite intersection of ideals commutes with taking bracket powers. However, reducedness is essential for this equivalence. Connections are made with Ohm-Rush content theory, intersection-flatness of the Frobenius map, and various flatness criteria.
Relations between localizations and -adic completions in commutative domains
Relèvements de schémas et algèbres de Monsky-Washnitzer : théorèmes d équivalence et de pleine fidélité II