Let F = (f,g) : R2 → R2 be a polynomial map such that det(DF(x,y)) is nowhere zero and F(0,0) = (0,0). In this work we give a new sufficient condition for the injectivity of F. We also state a conjecture when det(DF(x,y)) = constant ≠ 0 and F(0,0) = (0,0) equivalent to the Jacobian conjecture
AbstractA brief and elementary proof is given for a theorem of Bass, Connell and Wright. Suppose F =...
AbstractLet F = (f,g): k2 → k2 be a polynomial mapping over a field k, with f,g ϵ k[x, y]. The princ...
AbstractWe prove that a polynomial map from Rn to itself with non-zero constant Jacobian determinant...
Let F = (f,g) : R2 → R2 be a polynomial map such that det(DF(x,y)) is nowhere zero and F(0,0) = (0,...
Let F = (f,g): R2 → R2 be a polynomial map such that detDF (x,y) is different from zero for all (x,y...
Agraïments: FEDER-UNAB 10-4E-378. The two authors are also supported by a CAPES CSF-PVE grant 88881....
Agraïments: The first author is partially supported by a BPE-FAPESP grant number 2014/26149-3. The f...
The Jacobian Conjecture was first formulated by O. Keller in 1939. In the modern form it supposes in...
Let F=(f,g):R2→R2 be a polynomial map such that detDF(x,y) is different from zero for all (x,y)∈R2 ...
We extend a corollary in [2], yielding a sufficient and necessary condition for a polynomial map to ...
AbstractLetF≔(F1,…,Fn)∈(C[X1,…,Xn])nwith det(J(F))∈C* and letMi(Xi,Y)=mi0(Y)+mi1(Y)Xi+···+midi(Y)Xid...
We present two new classes of polynomial maps satisfying the real Jacobian conjecture in ℝ2. The fir...
LetF(F1,...,Fn)∈(C[X1,...,X n])nwith det(J(F))∈C* and letMi(Xi,Y)=mi0(Y)+mi1(Y)X i+···+midi(Y)X i d ...
Let F : 'R POT.N' → 'R POT.N' be a polynomial local diffeomorphism and let 'S IND.F' denote the set ...
This work is related to the Jacobian Conjecture. It contains the formulas concerning algebraic depen...
AbstractA brief and elementary proof is given for a theorem of Bass, Connell and Wright. Suppose F =...
AbstractLet F = (f,g): k2 → k2 be a polynomial mapping over a field k, with f,g ϵ k[x, y]. The princ...
AbstractWe prove that a polynomial map from Rn to itself with non-zero constant Jacobian determinant...
Let F = (f,g) : R2 → R2 be a polynomial map such that det(DF(x,y)) is nowhere zero and F(0,0) = (0,...
Let F = (f,g): R2 → R2 be a polynomial map such that detDF (x,y) is different from zero for all (x,y...
Agraïments: FEDER-UNAB 10-4E-378. The two authors are also supported by a CAPES CSF-PVE grant 88881....
Agraïments: The first author is partially supported by a BPE-FAPESP grant number 2014/26149-3. The f...
The Jacobian Conjecture was first formulated by O. Keller in 1939. In the modern form it supposes in...
Let F=(f,g):R2→R2 be a polynomial map such that detDF(x,y) is different from zero for all (x,y)∈R2 ...
We extend a corollary in [2], yielding a sufficient and necessary condition for a polynomial map to ...
AbstractLetF≔(F1,…,Fn)∈(C[X1,…,Xn])nwith det(J(F))∈C* and letMi(Xi,Y)=mi0(Y)+mi1(Y)Xi+···+midi(Y)Xid...
We present two new classes of polynomial maps satisfying the real Jacobian conjecture in ℝ2. The fir...
LetF(F1,...,Fn)∈(C[X1,...,X n])nwith det(J(F))∈C* and letMi(Xi,Y)=mi0(Y)+mi1(Y)X i+···+midi(Y)X i d ...
Let F : 'R POT.N' → 'R POT.N' be a polynomial local diffeomorphism and let 'S IND.F' denote the set ...
This work is related to the Jacobian Conjecture. It contains the formulas concerning algebraic depen...
AbstractA brief and elementary proof is given for a theorem of Bass, Connell and Wright. Suppose F =...
AbstractLet F = (f,g): k2 → k2 be a polynomial mapping over a field k, with f,g ϵ k[x, y]. The princ...
AbstractWe prove that a polynomial map from Rn to itself with non-zero constant Jacobian determinant...
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