Geodesic
Totally $P$-stable Abelian groups
Algebra i logika, Tome 54 (2015) no. 4, pp. 463-492.

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We give a complete description of Abelian groups that are totally $P$-stable for the following four natural types of subgroups: arbitrary subgroups, pure subgroups, elementary subsystems, and algebraically closed subgroups.
Keywords: Abelian group, totally $P$-stable group. 
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E. A. Palyutin. Totally $P$-stable Abelian groups. Algebra i logika, Tome 54 (2015) no. 4, pp. 463-492. http://geodesic.mathdoc.fr/item/AL_2015_54_4_a3/

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