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.
@article{AL_2015_54_4_a3,
author = {E. A. Palyutin},
title = {Totally $P$-stable {Abelian} groups},
journal = {Algebra i logika},
pages = {463--492},
publisher = {mathdoc},
volume = {54},
number = {4},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/AL_2015_54_4_a3/}
}
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/