Separability of torsion and pretorsion in the category of right Λ -modules

In this paper, three theorems are proven on the separability of torsion and pretorsion in the category of right -modules. It follows from Theorem 2 that each non-trivial torsion and pretorsion in Abelian groups is inseparable. The theorems are accompanied by examples. The bibliography contains three titles.Translated from Matematicheskie Zametki, Vol. 2, No. 6, pp. 681–688, December, 1967.The author wishes to thank L. A. Skornyakov for directing this work.