6 citations · 12 across the 5 of their papers we have counts for
5 papers
The complete solution to Bass Generalized Jacobian Conjecture
Kossivi Adjamagbo
The Classical Jacobian Conjecture claims that any unramified endomorphism of a complex affine space is an automorphism. In order to embed this conjecture in a geometric environment…
Adjamagbo Determinant and Serre conjecture for linear groups over Weyl algebras
Kossivi Adjamagbo
Thanks to the theory of determinants over an Ore domain, also called Adjamagbo determinant by the Russian school of non commutative algebra, we extend to any Weyl algebra over a fi…
On the equivalence of the Jacobian, Dixmier and Poisson Conjectures in any characteristic
Kossivi Adjamagbo, Arno van den Essen
Thanks to recent results on ring homomorphisms of Azumaya algebras and to the following ones about endomorphisms of canonical Poisson algebras and Dirac quantum algebras, and about…
On isomorphisms of factorial domains and the Jacobian conjecture in any characteristic
Kossivi Adjamagbo
The main theorem (2.2) consists in two characterizations of isomorphisms of factorial domains in terms of prime or primary rings elements, and unramified, flat or weakly injective…
On ring homomorphisms of Azumaya algebras
Kossivi Adjamagbo, Jean-Yves Charbonnel, Arno Van Den Essen
The main theorem (Theorem 4.1) of this paper claims that any ring morphism from an Azumaya algebra of constant rank over a commutative ring to another one of the same constant rank…