A certain property of abelian groups
A characterization of countable Butler groups
A class of torsion-free abelian groups characterized by the ranks of their socles
Butler groups formed by factoring a completely decomposable group by a rank one group have been studied extensively. We call such groups, bracket groups. We study bracket modules over integral domains. In particular, we are interested in when any bracket -module is tensor a bracket group.
A Group with Torsion-Free 2-Divisible Homology and Cappell's Result on the Novikov Conjecture.
A note on coflat abelian groups
A note on factor-splitting Abelian groups of rank two
Abelian group extensions and the axiom of constructibility.
Abelian Groups with an Endomorphism with Irreducible minimum Polynomial
Abelian groups with anti-isomorphic endomorphism rings
Algebraic ramifications of the common extension problem for group-valued measures
Let G be an Abelian group and let μ: A → G and ν: B → G be finitely additive measures (charges) defined on fields A and B of subsets of a set X. It is assumed that μ and ν agree on A ∩ B, i.e. they are consistent. The existence of common extensions of μ and ν is investigated, and conditions on A and B facilitating such extensions are given.
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...