Add to ORKGWe extend a corollary in H. Bass, et al.: The Jacobian Conjecture: Reduction of Degree and Formal Expansion of the Inverse, yielding a sufficient and necessary condition for a polynomial map to have an inverse of the simplest form, and give a surprisingly simple proof for the Jacobian Conjecture in two variables of the case f_i = x_i-h_i, where h_i is homogeneous of degree >= 2, i = 1,2
AbstractLet k be a field of characteristic zero and F:kn→kn a polynomial map with det JFϵk∗ and F(0)...
AbstractIn this paper we completely classify all polynomial maps of the form H=(u(x,y),v(x,y,z),h(u(...
AbstractIn this note we give a short conceptual proof of the Jacobian conjecture in dimension 3 and ...
AbstractA brief and elementary proof is given for a theorem of Bass, Connell and Wright. Suppose F =...
We extend a corollary in [2], yielding a sufficient and necessary condition for a polynomial map to ...
The Jacobian conjecture can be reduced to the consideration of polynomial maps F:Cn→Cn of the specia...
The Jacobian conjecture over a field of characteristic zero is considered directly in view of the pa...
AbstractLet k be a field of characteristic zero and F:k3→k3 a polynomial map of the form F=x+H, wher...
AbstractIt is proved in [M. de Bondt, A. van den Essen, A reduction of the Jacobian conjecture to th...
AbstractThis paper contains conditions that are equivalent to the Jacobian Conjecture (JC) in two va...
AbstractIt is shown that the Jacobian Conjecture holds for all polynomial maps F:kn→kn of the form F...
The Jacobian conjecture was first formulated by O. N. Keller in 1939. In the modern form it suppose...
AbstractIn this paper we present a new large class of polynomial mapsF=X+H:An→An(Definition 1.1) on ...
AbstractThe Jacobian conjecture in two variables is studied. It is shown that if ƒ, g∈C[x,y] have un...
Let $k$ be a field of characteristic zero. Let $F = X + H$ be a polynomial mapping from $k^n \to k^n...
AbstractLet k be a field of characteristic zero and F:kn→kn a polynomial map with det JFϵk∗ and F(0)...
AbstractIn this paper we completely classify all polynomial maps of the form H=(u(x,y),v(x,y,z),h(u(...
AbstractIn this note we give a short conceptual proof of the Jacobian conjecture in dimension 3 and ...
AbstractA brief and elementary proof is given for a theorem of Bass, Connell and Wright. Suppose F =...
We extend a corollary in [2], yielding a sufficient and necessary condition for a polynomial map to ...
The Jacobian conjecture can be reduced to the consideration of polynomial maps F:Cn→Cn of the specia...
The Jacobian conjecture over a field of characteristic zero is considered directly in view of the pa...
AbstractLet k be a field of characteristic zero and F:k3→k3 a polynomial map of the form F=x+H, wher...
AbstractIt is proved in [M. de Bondt, A. van den Essen, A reduction of the Jacobian conjecture to th...
AbstractThis paper contains conditions that are equivalent to the Jacobian Conjecture (JC) in two va...
AbstractIt is shown that the Jacobian Conjecture holds for all polynomial maps F:kn→kn of the form F...
The Jacobian conjecture was first formulated by O. N. Keller in 1939. In the modern form it suppose...
AbstractIn this paper we present a new large class of polynomial mapsF=X+H:An→An(Definition 1.1) on ...
AbstractThe Jacobian conjecture in two variables is studied. It is shown that if ƒ, g∈C[x,y] have un...
Let $k$ be a field of characteristic zero. Let $F = X + H$ be a polynomial mapping from $k^n \to k^n...
AbstractLet k be a field of characteristic zero and F:kn→kn a polynomial map with det JFϵk∗ and F(0)...
AbstractIn this paper we completely classify all polynomial maps of the form H=(u(x,y),v(x,y,z),h(u(...
AbstractIn this note we give a short conceptual proof of the Jacobian conjecture in dimension 3 and ...