AbstractA noncommutative jacobian matrix is defined, for endomorphisms of a free associative algebra into another. The chain rules holds. Invertibility of this matrix characterizes automorphisms of 9-e free Lie algebra. A presentation of Aut(k〈x,y〉) and an inversion formula are given
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 present a new large class of polynomial mapsF=X+H:An→An(Definition 1.1) on ...
AbstractWe are concerned with the generalized Jacobian Conjecture which can be reduced to the study ...
AbstractA noncommutative jacobian matrix is defined, for endomorphisms of a free associative algebra...
AbstractLet A = K〈x1,x2〉be a free associative algebra of rank 2 over an arbitrary field K. In this n...
AbstractA brief and elementary proof is given for a theorem of Bass, Connell and Wright. Suppose F =...
AbstractThe Jacobian algebra An is obtained from the Weyl algebra An by inverting (not in the sense ...
AbstractAs an answer to a question of Garsia, we give a universal formula in a “normal form” for the...
AbstractWe give a combinatorial proof of Jacobi's equality relating a cofactor of a matrix with the ...
AbstractWe study the subgroup generated by the exponentials of formal Lie series. We show three diff...
AbstractA sufficient condition for an algebra to be smooth is given in this paper; namely, if the Ja...
AbstractThe purpose of this note is to show how recent progress in non-commutative combinatorial alg...
We extend a corollary in H. Bass, et al.: The Jacobian Conjecture: Reduction of Degree and Formal ...
AbstractWe prove that a polynomial map from Rn to itself with non-zero constant Jacobian determinant...
A new class of algebras (the Jacobian algebras) is introduced and studied in detail. The Jacobian al...
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 present a new large class of polynomial mapsF=X+H:An→An(Definition 1.1) on ...
AbstractWe are concerned with the generalized Jacobian Conjecture which can be reduced to the study ...
AbstractA noncommutative jacobian matrix is defined, for endomorphisms of a free associative algebra...
AbstractLet A = K〈x1,x2〉be a free associative algebra of rank 2 over an arbitrary field K. In this n...
AbstractA brief and elementary proof is given for a theorem of Bass, Connell and Wright. Suppose F =...
AbstractThe Jacobian algebra An is obtained from the Weyl algebra An by inverting (not in the sense ...
AbstractAs an answer to a question of Garsia, we give a universal formula in a “normal form” for the...
AbstractWe give a combinatorial proof of Jacobi's equality relating a cofactor of a matrix with the ...
AbstractWe study the subgroup generated by the exponentials of formal Lie series. We show three diff...
AbstractA sufficient condition for an algebra to be smooth is given in this paper; namely, if the Ja...
AbstractThe purpose of this note is to show how recent progress in non-commutative combinatorial alg...
We extend a corollary in H. Bass, et al.: The Jacobian Conjecture: Reduction of Degree and Formal ...
AbstractWe prove that a polynomial map from Rn to itself with non-zero constant Jacobian determinant...
A new class of algebras (the Jacobian algebras) is introduced and studied in detail. The Jacobian al...
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 present a new large class of polynomial mapsF=X+H:An→An(Definition 1.1) on ...
AbstractWe are concerned with the generalized Jacobian Conjecture which can be reduced to the study ...
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