Georgian Mathematical Journal 13 (2006), No. 1, 079--084
Copyright Heldermann Verlag 2006
On the Full Transitivity of a Cotorsion Hull
Tariel Kemoklidze
A. Tsereteli State University, 59 Tamar Mepe St., Kutaisi 4600, Georgia
A cotorsion hull of the separable p-group T is considered when T is a direct sum of torsion-complete groups. It is proved that in the considered case its cotorsion hull is fully transitive if and only if T is a direct sum of cyclic groups or is a torsion-complete group.
Keywords: Cotorsion hull, torsion-complete group, full transitivity of a group.
MSC: 20K10, 20K21
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