Geodesic
To the question of full transitivity of a~cotorsion hull
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 5, pp. 75-80.

Voir la notice de l'article provenant de la source Math-Net.Ru

We discuss the topic of full transitivity of the cotorsion hull of а separable $p$-group. This topic plays a significant role in the description of the lattice of fully invariant subgroups of a group. A condition is established, the fulfillment of which makes the cotorsion hull not fully transitive. 
@article{FPM_2019_22_5_a7,
     author = {T. G. Kemoklidze},
     title = {To the question of full transitivity of a~cotorsion hull},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {75--80},
     publisher = {mathdoc},
     volume = {22},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a7/}
}
TY  - JOUR
AU  - T. G. Kemoklidze
TI  - To the question of full transitivity of a~cotorsion hull
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2019
SP  - 75
EP  - 80
VL  - 22
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a7/
LA  - ru
ID  - FPM_2019_22_5_a7
ER  - 
%0 Journal Article
%A T. G. Kemoklidze
%T To the question of full transitivity of a~cotorsion hull
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2019
%P 75-80
%V 22
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a7/
%G ru
%F FPM_2019_22_5_a7
T. G. Kemoklidze. To the question of full transitivity of a~cotorsion hull. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 5, pp. 75-80. http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a7/

[1] Kulikov L. Ya., “K teorii abelevykh grupp proizvolnoi moschnosti”, Matem. sb., 16 (1945), 129–162 | Zbl

[2] Fuchs L., Infinite Abelian Groups, v. I, Pure Appl. Math., 36, Academic Press, New York, 1970 | MR | Zbl

[3] Fuchs L., Infinite Abelian Groups, v. II, Pure Appl. Math., 36-II, Academic Press, New York, 1973 | MR | Zbl

[4] Kemoklidze T., “On the full transitivity of a cotorsion hull”, Georgian Math. J., 13:1 (2006), 79–84 | DOI | MR | Zbl

[5] Kemoklidze T., “The lattice of fully invariant subgroups of the cotorsion hull”, Adv. Pure Math., 3:8 (2013), 670–679 | DOI | MR

[6] Mader A., “The fully invariant subgroups of reduced algebraically compact groups”, Publ. Math. Debrecen, 17 (1970), 299–306 | MR

[7] May W., Toubassi E., “Endomorphisms of Abelian groups and the theorem of Baer and Kaplansky”, J. Algebra, 43:1 (1976), 1–13 | DOI | MR | Zbl

[8] Moskalenko A. I., “On pure completely characteristic subgroups of a coperiodic group”, Abelian Groups and Modules, 1994, no. 11–12, 157–165 ; 257 | MR | Zbl