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2-torsion of the Brauer group of an elliptic curve: Generators and relations.
A characterisation of Gorenstein orders in quarternition algebras.
A class of rings which are algebraic over the integers.
A generalization of Eichler's trace formula.
Eichler's trace formula for traces of the Brandt-Eichler matrices is proved for arbitrary totally definite orders in central simple algebras of prime index over global fields. A formula for type numbers of such orders is proved as an application.
A Note on Semi-prime Rings.
A note on Skolem-Noether algebras
The paper was motivated by Kovacs’ paper (1973), Isaacs’ paper (1980) and a recent paper, due to Brešar et al. (2018), concerning Skolem-Noether algebras. Let be a unital commutative ring, not necessarily a field. Given a unital -algebra , where is contained in the center of , , the goal of this paper is to study the question: when can a homomorphism be extended to an inner automorphism of ? As an application of main results presented in the paper, it is proved that if is a semilocal...
À propos d'un théorème de Frobenius
A question on the discriminants of involutions of central division algebras.
A surjectivity theorem for rigid highest weight modules.
A weak Hasse principle for central simple algebras with an involution.
Abelian splitting of division algebras of prime degrees.
Admissible groups, symmetric factor sets, and simple algebras.
Algèbre à division et extensions de corps sauvagement ramifiées de degré premier.
Algèbres simples centrales sur les corps de fonctions de deux variables
À toute classe dans le groupe de Brauer d’un corps sont associés deux entiers, l’indice (degré d’un corps gauche représentant la classe) et l’exposant (ordre de la classe dans le groupe de Brauer). L’exposant divise l’indice, mais ne lui est pas nécessairement égal. Lorsque est un corps de nombres, c’est un théorème des années 1930 qu’exposant et indice coïncident. A. J. de Jong (Duke Math. J. 123 (2004) 71-94) a montré récemment qu’ils coïncident aussi lorsque est un corps de fonctions de...
An application of Zassenhaus' unit theorem
An approximation theorem for Dubrovin valuation rings.
An embedding theorem for free associative algebras.
Arithmetical properties of finite rings and algebras, and analytic number theory. III. Finite modules and algebras over Dedekind domains.
Automorphismengruppen achtdimensionaler lokalkompakter Quasikörper.