In the article the leading forms of the polynomial mapping having the Jacobians of non-maximal degree are considered. In particular, the mappings having two zeros at infinity are discussed
The Jacobian Conjecture was first formulated by O. Keller in 1939. In the modern form it supposes in...
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...
This work is related to the Jacobian Conjecture. It contains the formulas concerning algebraic depen...
In this paper the polynomial mapping of two complex variables having one zero at infinity is conside...
Contains fulltext : 28452.pdf (preprint version ) (Open Access
Contains fulltext : 201315.pdf (publisher's version ) (Closed access
We give some relations between Jacobians and minimal polynomials of n polynomials in n variables, wh...
AbstractWe give some relations between Jacobians and minimal polynomials of n polynomials in n varia...
We present two new classes of polynomial maps satisfying the real Jacobian conjecture in ℝ2. The fir...
AbstractIn this paper we present a new large class of polynomial mapsF=X+H:An→An(Definition 1.1) on ...
AbstractIn this paper we completely classify all polynomial maps of the form H=(u(x,y),v(x,y,z),h(u(...
In our article we consider jacobian Jac(f,h) of polynomial mapping f = Xk Yk +…+ f1, h = Xk–1 Yk–1 +...
AbstractThe purpose of this note is to show how recent progress in non-commutative combinatorial alg...
AbstractWe prove that a polynomial map from Rn to itself with non-zero constant Jacobian determinant...
The Jacobian Conjecture was first formulated by O. Keller in 1939. In the modern form it supposes in...
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...
This work is related to the Jacobian Conjecture. It contains the formulas concerning algebraic depen...
In this paper the polynomial mapping of two complex variables having one zero at infinity is conside...
Contains fulltext : 28452.pdf (preprint version ) (Open Access
Contains fulltext : 201315.pdf (publisher's version ) (Closed access
We give some relations between Jacobians and minimal polynomials of n polynomials in n variables, wh...
AbstractWe give some relations between Jacobians and minimal polynomials of n polynomials in n varia...
We present two new classes of polynomial maps satisfying the real Jacobian conjecture in ℝ2. The fir...
AbstractIn this paper we present a new large class of polynomial mapsF=X+H:An→An(Definition 1.1) on ...
AbstractIn this paper we completely classify all polynomial maps of the form H=(u(x,y),v(x,y,z),h(u(...
In our article we consider jacobian Jac(f,h) of polynomial mapping f = Xk Yk +…+ f1, h = Xk–1 Yk–1 +...
AbstractThe purpose of this note is to show how recent progress in non-commutative combinatorial alg...
AbstractWe prove that a polynomial map from Rn to itself with non-zero constant Jacobian determinant...
The Jacobian Conjecture was first formulated by O. Keller in 1939. In the modern form it supposes in...
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...
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