AbstractIt is shown that if k is a field of characteristic zero, then the kernel of any triangular k-derivation of k[X1,X2,X3,X4] is finitely generated as a k-algebra. This is obtained as a corollary of a more general result concerning triangular R-derivations of R[X,Y,Z] for certain rings R
AbstractLet R be a 2-torsion free commutative ring with identity, A,B be unital algebras over R and ...
Abstract. Let k[[x, y]] be the formal power series ring in two variables over a field k of character...
Let R be a noetherian domain containing the field of rationals. We show that if R is Dedekind then t...
AbstractLet B be the polynomial ring in three variables over a field k of characteristic zero. A k-d...
AbstractIt is shown that any triangular derivation on k[X1,X2,X3,X4] sending Xi to a monomial has ke...
AbstractIt is shown that if k is a field of characteristic zero, then the kernel of any triangular k...
Given a UFD R containing Q , we study R-elementary derivations of B = R[Y1,..., Ym], i.e., R-deriv...
AbstractLet k be a field of characteristic zero and A a finitely generated k-algebra. We give a desc...
AbstractLet K be a field of characteristic zero. We show that if n ⩾ 3, given r ⩾ 0 there exists a d...
Abstract. The aim of this paper is to summarize some motivations and results concerning generators o...
Let A be an unique factorization domain containing a field k of characteristic zero and let A[X] and...
AbstractLet K be a field of characteristic 0. Nagata and Nowicki have shown that the kernel of a der...
AbstractThe kernel of a certain triangular derivation of the polynomial ring k[x1,x2,x3,x4,x5] is sh...
In this article, we give a sufficient and necessary condition for every Jordan {g,h}-derivation to b...
AbstractLet T be a triangular algebra over a commutative ring R. In this paper, under some mild cond...
AbstractLet R be a 2-torsion free commutative ring with identity, A,B be unital algebras over R and ...
Abstract. Let k[[x, y]] be the formal power series ring in two variables over a field k of character...
Let R be a noetherian domain containing the field of rationals. We show that if R is Dedekind then t...
AbstractLet B be the polynomial ring in three variables over a field k of characteristic zero. A k-d...
AbstractIt is shown that any triangular derivation on k[X1,X2,X3,X4] sending Xi to a monomial has ke...
AbstractIt is shown that if k is a field of characteristic zero, then the kernel of any triangular k...
Given a UFD R containing Q , we study R-elementary derivations of B = R[Y1,..., Ym], i.e., R-deriv...
AbstractLet k be a field of characteristic zero and A a finitely generated k-algebra. We give a desc...
AbstractLet K be a field of characteristic zero. We show that if n ⩾ 3, given r ⩾ 0 there exists a d...
Abstract. The aim of this paper is to summarize some motivations and results concerning generators o...
Let A be an unique factorization domain containing a field k of characteristic zero and let A[X] and...
AbstractLet K be a field of characteristic 0. Nagata and Nowicki have shown that the kernel of a der...
AbstractThe kernel of a certain triangular derivation of the polynomial ring k[x1,x2,x3,x4,x5] is sh...
In this article, we give a sufficient and necessary condition for every Jordan {g,h}-derivation to b...
AbstractLet T be a triangular algebra over a commutative ring R. In this paper, under some mild cond...
AbstractLet R be a 2-torsion free commutative ring with identity, A,B be unital algebras over R and ...
Abstract. Let k[[x, y]] be the formal power series ring in two variables over a field k of character...
Let R be a noetherian domain containing the field of rationals. We show that if R is Dedekind then t...
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