Annihilators of nilpotent elements.
Annihilators of skew derivations with Engel conditions on prime rings
Let be a noncommutative prime ring of characteristic different from 2, with its two-sided Martindale quotient ring , the extended centroid of and . Suppose that is a nonzero -derivation of such that for all , where is an automorphism of , and are fixed positive integers. Then .
Another counterexample to a conjecture of Zassenhaus.
Anti-inverse rings.
Anti-Isomorphisms of Endomorphism Rings of Locally Free Modules.
Appendix to "On the double Poincaré series of the enveloping algebras of certain graded Lie algebras".
Application des variables non commutatives à divers produits de séries formelles
Applications logiques en théorie des anneaux et des modules
Applications of epigroups to graded ring theory.
Applications of Factor Categories to Completely Indecomposable Modules
Applications of Model Theory to Representations of Finite-Dimensional Algebras.
Applications of spinor class fields: embeddings of orders and quaternionic lattices
We extend the theory of spinor class fields and relative spinor class fields to study representation problems in several classical linear algebraic groups over number fields. We apply this theory to study the set of isomorphism classes of maximal orders of central simple algebras containing a given maximal Abelian suborder. We also study isometric embeddings of one skew-Hermitian Quaternionic lattice into another.
Applying the density theorem for derivations to range inclusion problems
The problem of when derivations (and their powers) have the range in the Jacobson radical is considered. The proofs are based on the density theorem for derivations.
Approximation de séries formelles par des séries rationnelles
Approximation durch Polynomfunktionen auf universellen Algebren.
Archimedean property of ordered semirings.
Arens regularity of lattice-ordered rings
This work discusses the problem of Arens regularity of a lattice-ordered ring. In this prospect, a counterexample is furnished to show that without extra conditions, a lattice-ordered ring need not be Arens regular. However, as shown in this paper, it turns out that any -ring in the sense of Birkhoff and Pierce is Arens regular. This result is then used and extended to the more general setting of almost -rings introduced again by Birkhoff.
A-Rings
A ring R is called an E-ring if every endomorphism of R⁺, the additive group of R, is multiplication on the left by an element of R. This is a well known notion in the theory of abelian groups. We want to change the "E" as in endomorphisms to an "A" as in automorphisms: We define a ring to be an A-ring if every automorphism of R⁺ is multiplication on the left by some element of R. We show that many torsion-free finite rank (tffr) A-rings are actually E-rings. While we have an example of a mixed...
Arithmetic of stabilizers of ideals in group rings.
Arithmetical properties of finite rings and algebras, and analytic number theory.