A subspace of and its connexions with the maximal ring of quotients
A two-dimensional domain whose integral closure is not t-linked.
Abelsche Galoiserweiterungen von R[X].
Abhyankar-Moh property and unique affine embeddings.
Absolutely S-domains and pseudo-polynomial rings
A domain R is called an absolutely S-domain (for short, AS-domain) if each domain T such that R ⊆ T ⊆ qf(R) is an S-domain. We show that R is an AS-domain if and only if for each valuation overring V of R and each height one prime ideal q of V, the extension R/(q ∩ R) ⊆ V/q is algebraic. A Noetherian domain R is an AS-domain if and only if dim (R) ≤ 1. In Section 2, we study a class of R-subalgebras of R[X] which share many spectral properties with the polynomial ring R[X] and which we call pseudo-polynomial...
Addendum to Polynomial rings over Jacobson-Hilbert rings.
In the article appeared in this same journal, vol. 33, 1 (1989) pp. 85-97, some statements in the proof of Example 3.4B got scrambled.
Algebraic closure of modules.
Algébricité des fonctions méromorphes prenant certaines valeurs algébriques
An algebraic construction of the generic singularities of Boardman-Thom
An algorithm to compute the kernel of a derivation up to a certain degree
An algorithm is described which computes generators of the kernel of derivations on k[X₁,...,Xₙ] up to a previously given bound. For w-homogeneous derivations it is shown that if the algorithm computes a generating set for the kernel then this set is minimal.
An Application of Jonsson Modules to Some Questions Concerning Proper Subrings.
An application of modules of generalized fractions to grades of ideals and Gorenstein rings
An Effective Approach to Keller's Jacobian Conjecture.
An elementary proof of the Briançon-Skoda theorem
We give an elementary proof of the Briançon-Skoda theorem. The theorem gives a criterionfor when a function belongs to an ideal of the ring of germs of analytic functions at ; more precisely, the ideal membership is obtained if a function associated with and is locally square integrable. If can be generated by elements,it follows in particular that , where denotes the integral closure of an ideal .
An extension to fields of positive characteristic of Mather's construction of the Thom-Boardman sequence
Anelli regolari separabilmente chiusi
Anisotropic resultant. Complements and applications. (Résultant anisotrope. Compléments et applications.)
Anneau des entiers d'une extension galoisienne considéré comme module sur l'algèbre du groupe de Galois
Anneaux de Goldman
Anneaux de 'polynômes à valeurs entières' et anneaux de Fatou