ON SEPARABLE (p)over-tilde(alpha)-BOUNDED PRIMARY ABELIAN GROUPS

摘要

The notion of (p) over tilde (alpha)-boundedness is used to study several topics in the theory of separable abelian p-groups, including the torsion product of torsion-complete groups, the generalized core class property, and in the context of the constructible universe, groups whose socles are essentially finitely indecomposable as valuated vector spaces.