Geodesic
On Abelian groups with commutative commutators of endomorphisms
Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 5, pp. 227-233.

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

Abelian groups with commutative commutators of endomorphisms are studied. The structure of these groups is described among torsion, completely decomposable, coperiodic, and split mixed groups. 
@article{FPM_2015_20_5_a19,
     author = {A. R. Chekhlov},
     title = {On {Abelian} groups with commutative commutators of endomorphisms},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {227--233},
     publisher = {mathdoc},
     volume = {20},
     number = {5},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2015_20_5_a19/}
}
TY  - JOUR
AU  - A. R. Chekhlov
TI  - On Abelian groups with commutative commutators of endomorphisms
JO  - Fundamentalʹnaâ i prikladnaâ matematika
PY  - 2015
SP  - 227
EP  - 233
VL  - 20
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/FPM_2015_20_5_a19/
LA  - ru
ID  - FPM_2015_20_5_a19
ER  - 
%0 Journal Article
%A A. R. Chekhlov
%T On Abelian groups with commutative commutators of endomorphisms
%J Fundamentalʹnaâ i prikladnaâ matematika
%D 2015
%P 227-233
%V 20
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/FPM_2015_20_5_a19/
%G ru
%F FPM_2015_20_5_a19
A. R. Chekhlov. On Abelian groups with commutative commutators of endomorphisms. Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 5, pp. 227-233. http://geodesic.mathdoc.fr/item/FPM_2015_20_5_a19/

[1] Abyzov A. N., Tuganbaev A. A., “Gomomorfizmy, blizkie k regulyarnym, i ikh prilozheniya”, Fundament. i prikl. matem., 16:7 (2010), 3–38

[2] Blagoveschenskaya E. A., “Opredelyaemost abelevykh grupp bez krucheniya schetnogo ranga nekotorogo klassa ikh koltsami endomorfizmov”, Fundament. i prikl. matem., 13:1 (2007), 31–43 | MR

[3] Grishin A. V., Tsarev A. V., “$\mathcal{E}$-zamknutye gruppy i moduli”, Fundament. i prikl. matem., 17:2 (2012), 97–106 | MR | Zbl

[4] Krylov P. A., Mikhalev A. V., Tuganbaev A. A., Abelevy gruppy i ikh koltsa endomorfizmov, Faktorial Press, M., 2006

[5] Lytkina D. V., Mazurov V. D., “O gruppakh s zadannymi svoistvami konechnykh podgrupp”, Algebra i logika, 51:3 (2012), 321–330 | MR | Zbl

[6] Tuganbaev A. A., “Avtomorfizmy podmodulei i ikh prodolzheniya”, Diskret. matem., 25:1 (2013), 144–151 | DOI | MR | Zbl

[7] Fomin A. A., “Kategoriya matrits, predstavlyayuschaya dve kategorii abelevykh grupp”, Fundament. i prikl. matem., 13:3 (2007), 223–244 | MR

[8] Chekhlov A. R., “O skobke Li endomorfizmov abelevykh grupp”, Vestn. Tomsk. un-ta. Matematika i mekhanika, 2009, no. 2(6), 78–84

[9] Chekhlov A. R., “Ob abelevykh gruppakh s normalnym koltsom endomorfizmov”, Algebra i logika, 48:4 (2009), 520–539 | MR | Zbl

[10] Chekhlov A. R., “$E$-nilpotentnye i $E$-razreshimye abelevy gruppy klassa 2”, Vestn. Tomsk. un-ta. Matematika i mekhanika, 2010, no. 1(9), 59–71 | MR

[11] Chekhlov A. R., “$E$-razreshimye moduli”, Fundament. i prikl. matem., 16:7 (2010), 221–236 | MR

[12] Chekhlov A. R., “O kommutatorno invariantnykh podgruppakh abelevykh grupp”, Sib. matem. zhurn., 51:5 (2010), 1163–1174 | MR | Zbl

[13] Chekhlov A. R., “Ob abelevykh gruppakh, blizkikh k $E$-razreshimym”, Fundament. i prikl. matem., 17:8 (2011/2012), 183–219 | MR

[14] Chekhlov A. R., “$E$-engelevy abelevy gruppy stupeni ${\leq}\,2$”, Vestn. Tomsk. un-ta. Matematika i mekhanika, 2012, no. 1(17), 54–60 | MR

[15] Chekhlov A. R., “O proektivno razreshimykh abelevykh gruppakh”, Sib. matem. zhurn., 53:5 (2012), 1157–1165 | MR | Zbl

[16] Chekhlov A. R., “O proektivnom kommutante abelevykh grupp”, Sib. matem. zhurn., 53:2 (2012), 451–464 | MR | Zbl

[17] Chekhlov A. R., “Ob abelevykh gruppakh s nilpotentnymi kommutatorami endomorfizmov”, Izv. vyssh. uchebn. zaved. Matematika, 2012, no. 10, 60–73 | MR | Zbl

[18] Chekhlov A. R., “Ob abelevykh gruppakh s perestanovochnymi monomorfizmami”, Sib. matem. zhurn., 54:5 (2013), 1182–1187 | MR | Zbl

[19] Chekhlov A. R., “Slabo tranzitivnye $E$-engelevy abelevy gruppy bez krucheniya”, Matem. zametki, 94:4 (2013), 620–627 | DOI | MR | Zbl

[20] Călugăreanu G., Schultz P., “Modules with Abelian endomorphism rings”, Bull. Austral. Math. Soc., 82:1 (2010), 99–112 | DOI | MR

[21] Chen W. X., “On semiabelian $\pi$-regular rings”, Intern. J. Math. Sci., 23 (2007), 1–10 | DOI | MR

[22] Danchev P. V., Goldsmith B., “On socle-regularity and some notions of transitivity for Abelian $p$-groups”, J. Commut. Algebra, 3:3 (2011), 301–319 | DOI | MR | Zbl

[23] Ratseev S. M., “On varieties of Leibniz–Poisson algebras with the identity $\{x,y\}\cdot\{z,t\}=0$”, Zhurn. SFU. Matem. i fiz., 6:1 (2013), 97–104

[24] Wei J. C., Li L. B., “Quasi-normal rings”, Commun. Algebra, 38 (2010), 1855–1868 | DOI | MR | Zbl

[25] Wei J. C., Li L. B., “Weakly normal rings”, Turk. J. Math., 36 (2012), 47–57 | MR | Zbl