Valuated Butler groups of special type
Valued vector spaces and abelian -groups
Varieties with modular and distributive lattices of symmetric or reflexive relations
Various local global principles for abelian groups.
We discuss local global principles for abelian groups by examining the adjoint functor pair obtained by (left adjoint) sending an abelian group A to the local diagram L(A) = {Z(p) ⊗ A → Q ⊗ A} and (right adjoint) applying the inverse limit functor to such diagrams; p runs through all integer primes. We show that the natural map A → lim L(A) is an isomorphism if A has torsion at only finitely many primes. If A is fixed we answer the genus problem of identifying all those groups B for which the local...
Very Decomposable Abelian Groups.