Voir la notice de l'article provenant de la source Math-Net.Ru
@article{MZM_2018_103_3_a3, author = {V. K. Vildanov and O. V. Ljubimtsev and D. S. Chistyakov}, title = {On the {Determinability} of {Mixed} {Abelian} {Groups} by {Their} {Endomorphism} {Semigroups}}, journal = {Matemati\v{c}eskie zametki}, pages = {364--371}, publisher = {mathdoc}, volume = {103}, number = {3}, year = {2018}, language = {ru}, url = {http://geodesic.mathdoc.fr/item/MZM_2018_103_3_a3/} }
TY - JOUR AU - V. K. Vildanov AU - O. V. Ljubimtsev AU - D. S. Chistyakov TI - On the Determinability of Mixed Abelian Groups by Their Endomorphism Semigroups JO - Matematičeskie zametki PY - 2018 SP - 364 EP - 371 VL - 103 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2018_103_3_a3/ LA - ru ID - MZM_2018_103_3_a3 ER -
%0 Journal Article %A V. K. Vildanov %A O. V. Ljubimtsev %A D. S. Chistyakov %T On the Determinability of Mixed Abelian Groups by Their Endomorphism Semigroups %J Matematičeskie zametki %D 2018 %P 364-371 %V 103 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/MZM_2018_103_3_a3/ %G ru %F MZM_2018_103_3_a3
V. K. Vildanov; O. V. Ljubimtsev; D. S. Chistyakov. On the Determinability of Mixed Abelian Groups by Their Endomorphism Semigroups. Matematičeskie zametki, Tome 103 (2018) no. 3, pp. 364-371. http://geodesic.mathdoc.fr/item/MZM_2018_103_3_a3/
[1] P. Puusemp, “Ob opredelyaemosti periodicheskoi abelevoi gruppy svoei polugruppoi endomorfizmov v klasse vsekh grupp”, Izv. AN Est. SSR, Fiz. Matem., 29:3 (1980), 241–245 | MR | Zbl
[2] P. Puusemp, “Ob opredelyaemosti periodicheskoi abelevoi gruppy svoei polugruppoi endomorfizmov v klasse vsekh periodicheskikh abelevykh grupp”, Izv. AN Est. SSR, Fiz. Matem., 29:3 (1980), 246–253 | MR | Zbl
[3] A. M. Sebeldin, “Ob opredelyaemosti abelevykh grupp svoimi polugruppami endomorfizmov”, Abelevy gruppy i moduli, 1991, 125–134
[4] A. M. Sebeldin, “Abelevy gruppy s izomorfnymi polugruppami endomorfizmov”, UMN, 49 (1994), 211–212 | Zbl
[5] O. V. Lyubimtsev, D. S. Chistyakov, “Smeshannye abelevy gruppy s izomorfnymi polugruppami endomorfizmov”, Matem. zametki, 97 (2015), 556–565 | DOI | Zbl
[6] P. A. Krylov, A. V. Mikhalev, A. A. Tuganbaev, Abelevy gruppy i ikh koltsa endomorfizmov, Faktorial press, M., 2006
[7] R. A. Beaumont, R. S. Pierce, “Torsion-free rings”, Illinois J. Math., 5 (1961), 61–98 | MR | Zbl
[8] A. Fomin, W. Wickless, “Quotient divisible abelian groups”, Proc. Amer. Math. Soc., 126:1 (1998), 45–52 | DOI | MR | Zbl
[9] A. A. Fomin, “K teorii faktorno delimykh grupp. I”, Fundament. i prikl. matem., 17:8 (2012), 153–167
[10] O. I. Davydova, “Faktorno delimye gruppy ranga 1”, Fundament. i prikl. matem., 13:3 (2007), 25–33 | MR | Zbl
[11] A. A. Fomin, “Some mixed abelian groups as modules over the ring of pseudo-rational numbers”, Abelian Groups and Modules, Trends in Math., Birkhäuser, Basel, 1999, 87–100 | DOI | MR | Zbl
[12] D. Arnold, C. Murley, “Abelian groups A such that $\operatorname{Hom}(A,---)$ preserves direct sums of copies of $A$”, Pacific J. Math., 56:1 (1975), 7–20 | DOI | MR | Zbl
[13] A. A. Fomin, “Quotient divisible mixed groups”, Abelian Groups, Rings and Modules, Contemp. Math., 273, Amer. Math. Soc., Providence, RI, 2001, 117–128 | DOI | MR | Zbl