Primitive idempotents and the socle in group rings of periodic abelian groups
Primitivmengen in additiven abelschen Gruppen.
Pure subgroups split
RECOGNIZABLE LANGUAGES AND FINITE SEMILATTICES OF GROUPS.
Rings on certain classes of torsion-free Abelian groups
Rings on completely decomposable torsion-free Abelian groups
Separable mixed groups
Small-sum pairs in abelian groups
Let be an abelian group and two subsets of equal size such that and both have size . Answering a question of Bihani and Jin, we prove that if is aperiodic or if there exist elements and such that has a unique expression as an element of and has a unique expression as an element of , then is a translate of . We also give an explicit description of the various counterexamples which arise when neither condition holds.
Solution générale sur un groupe abélien de l'équation fonctionelle f(x*f(y)) = f(f(x)*y).
Some commutativity criteria
Some commutativity criteria. - II
Some new results in probalistic group theory.
Some results in additive number theory I: The critical pair theory
Splitting of pure subgroups
Splitting the Künneth Sequence in K-Theory.
Splittings of infinite abelian group.
Splittings of infinite abelian group. (Short Communication).
Subgroup criteria for an abelian group.
Subsemigroups of Finitely Generated Groups with Divisor-Theory.
The elementary theory of Abelian groups with m-chains of pure subgroups