AbstractIt is shown that the Jacobian Conjecture holds for all polynomial maps F:kn→kn of the form F=x+H, such that JH is nilpotent and symmetric, when n⩽4. If H is also homogeneous a similar result is proved for all n⩽5
AbstractWe prove that a polynomial map from Rn to itself with non-zero constant Jacobian determinant...
AbstractIn this paper we present a new large class of polynomial mapsF=X+H:An→An(Definition 1.1) on ...
AbstractLet z=(z1,…,zn) and Δ=∑i=1n∂2∂zi2, the Laplace operator. A formal power series P(z) is said ...
AbstractWe show that for all n⩽4 the Jacobian Conjecture holds for all polynomial mappings F:Cn→Cn o...
AbstractLet H:Cn→Cn be a polynomial map such that the Jacobian JH of H is nilpotent and symmetric. T...
AbstractIt is shown that the Jacobian Conjecture holds for all polynomial maps F:kn→kn of the form F...
Contains fulltext : 159328.pdf (publisher's version ) (Open Access)15 p
AbstractLet H : kn → kn be a polynomial map. It is shown that the Jacobian matrix JH is strongly nil...
Contains fulltext : 28452.pdf (preprint version ) (Open Access
We prove that a polynomial map F = X+ H ∈ k[X] with homogeneous H(k is a field of characteristic zer...
We extend a corollary in [2], yielding a sufficient and necessary condition for a polynomial map to ...
AbstractIt is proved in [M. de Bondt, A. van den Essen, A reduction of the Jacobian conjecture to th...
AbstractLet k be a field of characteristic zero and F:k3→k3 a polynomial map of the form F=x+H, wher...
AbstractA brief and elementary proof is given for a theorem of Bass, Connell and Wright. Suppose F =...
In [1] Bass, Connell and Wright showed that it suffices to investigate the Jaco-bian Conjecture for ...
AbstractWe prove that a polynomial map from Rn to itself with non-zero constant Jacobian determinant...
AbstractIn this paper we present a new large class of polynomial mapsF=X+H:An→An(Definition 1.1) on ...
AbstractLet z=(z1,…,zn) and Δ=∑i=1n∂2∂zi2, the Laplace operator. A formal power series P(z) is said ...
AbstractWe show that for all n⩽4 the Jacobian Conjecture holds for all polynomial mappings F:Cn→Cn o...
AbstractLet H:Cn→Cn be a polynomial map such that the Jacobian JH of H is nilpotent and symmetric. T...
AbstractIt is shown that the Jacobian Conjecture holds for all polynomial maps F:kn→kn of the form F...
Contains fulltext : 159328.pdf (publisher's version ) (Open Access)15 p
AbstractLet H : kn → kn be a polynomial map. It is shown that the Jacobian matrix JH is strongly nil...
Contains fulltext : 28452.pdf (preprint version ) (Open Access
We prove that a polynomial map F = X+ H ∈ k[X] with homogeneous H(k is a field of characteristic zer...
We extend a corollary in [2], yielding a sufficient and necessary condition for a polynomial map to ...
AbstractIt is proved in [M. de Bondt, A. van den Essen, A reduction of the Jacobian conjecture to th...
AbstractLet k be a field of characteristic zero and F:k3→k3 a polynomial map of the form F=x+H, wher...
AbstractA brief and elementary proof is given for a theorem of Bass, Connell and Wright. Suppose F =...
In [1] Bass, Connell and Wright showed that it suffices to investigate the Jaco-bian Conjecture for ...
AbstractWe prove that a polynomial map from Rn to itself with non-zero constant Jacobian determinant...
AbstractIn this paper we present a new large class of polynomial mapsF=X+H:An→An(Definition 1.1) on ...
AbstractLet z=(z1,…,zn) and Δ=∑i=1n∂2∂zi2, the Laplace operator. A formal power series P(z) is said ...
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