Add to ORKGIn this paper we study affine -UFDs of transcendence degree n without nonconstant units, having n-1 commuting linearly independent locally nilpotent -derivations. We prove in case n=2, and algebraically closed of characteristic zero, that such rings are polynomial rings in two variables over . We then show that the commuting derivations Conjecture is equivalent to a weak version of the Abhyankar–Sathaye Conjecture
In this thesis, we introduce the theory of locally nilpotent derivations and use it to compute certa...
AbstractThis paper proves the Commuting Derivations Conjecture in dimension three: if D1 and D2 are ...
Let Bm n (Fermat ring), where m ≥ 2 and n ≥ 3. In a recent paper D. Fiston and S. Maubach show that ...
In this paper we study affine -UFDs of transcendence degree n without nonconstant units, having n-1 ...
In this paper we study affine -UFDs of transcendence degree n without nonconstant units, having n-1...
AbstractIn this paper we study affine K-UFDs of transcendence degree n without nonconstant units, ha...
AbstractGiven a UFDRcontaining the rational numbers, we study locally nilpotentR-derivations of the ...
Let k be a field of characteristic 0. We classify locally nilpotent derivations D : k[ X, Y, Z] &rar...
The main goal of this thesis is to present the theory of Locally Nilpotent Derivations\ud and to sho...
AbstractLet R be a commutative reduced, Z-torsion free ring. Let d and δ be two locally nilpotent de...
This book explores the theory and application of locally nilpotent derivations, a subject motivated ...
AbstractLet m and n be positive integers such that n⩾m and let B be a polynomial ring in m+n+1 varia...
This paper proves the Commuting Derivations Conjecture in dimension three: if D1 andD2 are two local...
Given a UFD R containing Q , we study R-elementary derivations of B = R[Y1,..., Ym], i.e., R-deriv...
Abstract. Let m and n be positive integers such that n m and let B be a polynomial ring in m + n + ...
In this thesis, we introduce the theory of locally nilpotent derivations and use it to compute certa...
AbstractThis paper proves the Commuting Derivations Conjecture in dimension three: if D1 and D2 are ...
Let Bm n (Fermat ring), where m ≥ 2 and n ≥ 3. In a recent paper D. Fiston and S. Maubach show that ...
In this paper we study affine -UFDs of transcendence degree n without nonconstant units, having n-1 ...
In this paper we study affine -UFDs of transcendence degree n without nonconstant units, having n-1...
AbstractIn this paper we study affine K-UFDs of transcendence degree n without nonconstant units, ha...
AbstractGiven a UFDRcontaining the rational numbers, we study locally nilpotentR-derivations of the ...
Let k be a field of characteristic 0. We classify locally nilpotent derivations D : k[ X, Y, Z] &rar...
The main goal of this thesis is to present the theory of Locally Nilpotent Derivations\ud and to sho...
AbstractLet R be a commutative reduced, Z-torsion free ring. Let d and δ be two locally nilpotent de...
This book explores the theory and application of locally nilpotent derivations, a subject motivated ...
AbstractLet m and n be positive integers such that n⩾m and let B be a polynomial ring in m+n+1 varia...
This paper proves the Commuting Derivations Conjecture in dimension three: if D1 andD2 are two local...
Given a UFD R containing Q , we study R-elementary derivations of B = R[Y1,..., Ym], i.e., R-deriv...
Abstract. Let m and n be positive integers such that n m and let B be a polynomial ring in m + n + ...
In this thesis, we introduce the theory of locally nilpotent derivations and use it to compute certa...
AbstractThis paper proves the Commuting Derivations Conjecture in dimension three: if D1 and D2 are ...
Let Bm n (Fermat ring), where m ≥ 2 and n ≥ 3. In a recent paper D. Fiston and S. Maubach show that ...