FUNDAMENTALNAYA I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

1998, VOLUME 4, NUMBER 4, PAGES 1279-1305

Fully invariant subgroups of separable Abelian groups

S. Ya. Grinshpon

Abstract

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The new description of fully invariant subgroups and their lattice for Abelian $p$-groups without elements of infinite height and large subgroups and their lattice for arbitrary Abelian $p$-groups is obtained. Ulm--Kaplansky invariants of these subgroups are calculated. The full description of fully invariant subgroups and their lattice for separable torsion free Abelian groups is obtained.

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Last modified: January 25, 1999