On the quasi-endomorphism rings of quasi-decomposable torsion-free Abelian groups of rank~$4$ with a~strongly indecomposable quasi-summand of rank~$2$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 5, pp. 209-225
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We obtain a description of quasi-endomorphism rings of torsion-free Abelian groups $G$ of rank $4$ that are quasi-decomposable into a direct sum of groups $A_1$ and $A_2$ of rank $1$ and a strongly indecomposable group $B$ of rank $2$ in the case where the quasi-homomorphism group $\mathbb {Q} \otimes \operatorname{Hom}(B, A_2)$ has rank $2$.
@article{FPM_2015_20_5_a18,
author = {A. V. Cherednikova},
title = {On the quasi-endomorphism rings of quasi-decomposable torsion-free {Abelian} groups of rank~$4$ with a~strongly indecomposable quasi-summand of rank~$2$},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {209--225},
publisher = {mathdoc},
volume = {20},
number = {5},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2015_20_5_a18/}
}
TY - JOUR AU - A. V. Cherednikova TI - On the quasi-endomorphism rings of quasi-decomposable torsion-free Abelian groups of rank~$4$ with a~strongly indecomposable quasi-summand of rank~$2$ JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2015 SP - 209 EP - 225 VL - 20 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2015_20_5_a18/ LA - ru ID - FPM_2015_20_5_a18 ER -
%0 Journal Article %A A. V. Cherednikova %T On the quasi-endomorphism rings of quasi-decomposable torsion-free Abelian groups of rank~$4$ with a~strongly indecomposable quasi-summand of rank~$2$ %J Fundamentalʹnaâ i prikladnaâ matematika %D 2015 %P 209-225 %V 20 %N 5 %I mathdoc %U http://geodesic.mathdoc.fr/item/FPM_2015_20_5_a18/ %G ru %F FPM_2015_20_5_a18
A. V. Cherednikova. On the quasi-endomorphism rings of quasi-decomposable torsion-free Abelian groups of rank~$4$ with a~strongly indecomposable quasi-summand of rank~$2$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 20 (2015) no. 5, pp. 209-225. http://geodesic.mathdoc.fr/item/FPM_2015_20_5_a18/