Purifiable Subgroups II.
Hokkaido Mathematical Journal, 34 (2005) pp.237-245
Let $G$ be an arbitrary group. A subgroup $A$ of $G$ is purifiable in $G$ if, among the pure subgroups of $G$ containing $A$, there exists a minimal one. We studied purifiable subgroups of abelian groups in . In this note, we give simple proofs of [4,Theorem 4.6], [4,Theorem 4.7], and [4,Theorem 4.8].
|Uncontrolled Keywords||almost-dense subgroup, p-purifiable subgroup, purifiable subgroup, poverhang set, torsion-complete|