On abelian groups with central squares of commutators of endomorphisms
Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2013), pp. 54-59
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We describe divisible, completely decomposable, vector, and separable torsion free groups for which the squares of commutators of their endomorphisms are central in endomorphism rings of these groups.
Keywords:
endomorphism ring, commutator of endomorphisms
Mots-clés : $E$-commutant.
Mots-clés : $E$-commutant.
@article{VTGU_2013_4_a6,
author = {A. R. Chekhlov and Ml. V. Agafontseva},
title = {On abelian groups with central squares of commutators of endomorphisms},
journal = {Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika},
pages = {54--59},
publisher = {mathdoc},
number = {4},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/VTGU_2013_4_a6/}
}
TY - JOUR AU - A. R. Chekhlov AU - Ml. V. Agafontseva TI - On abelian groups with central squares of commutators of endomorphisms JO - Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika PY - 2013 SP - 54 EP - 59 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/VTGU_2013_4_a6/ LA - ru ID - VTGU_2013_4_a6 ER -
%0 Journal Article %A A. R. Chekhlov %A Ml. V. Agafontseva %T On abelian groups with central squares of commutators of endomorphisms %J Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika %D 2013 %P 54-59 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/VTGU_2013_4_a6/ %G ru %F VTGU_2013_4_a6
A. R. Chekhlov; Ml. V. Agafontseva. On abelian groups with central squares of commutators of endomorphisms. Vestnik Tomskogo gosudarstvennogo universiteta. Matematika i mehanika, no. 4 (2013), pp. 54-59. http://geodesic.mathdoc.fr/item/VTGU_2013_4_a6/