Torsion-Free Abelian Groups of Finite Rank as Endomorphic Modules over Their Endomorphism Ring
Matematičeskie zametki, Tome 94 (2013) no. 5, pp. 770-776
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In the paper, the additivity problem for homogeneous mappings of torsion-free Abelian groups of finite rank is solved and some close problems are considered.
Keywords:
additivity problem, homogeneous mapping, torsion-free Abelian group of finite rank, near-ring, endomorphic (semi-endomorphic module), endodistributive Abelian group.
@article{MZM_2013_94_5_a11,
author = {D. S. Chistyakov},
title = {Torsion-Free {Abelian} {Groups} of {Finite} {Rank} as {Endomorphic} {Modules} over {Their} {Endomorphism} {Ring}},
journal = {Matemati\v{c}eskie zametki},
pages = {770--776},
publisher = {mathdoc},
volume = {94},
number = {5},
year = {2013},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MZM_2013_94_5_a11/}
}
TY - JOUR AU - D. S. Chistyakov TI - Torsion-Free Abelian Groups of Finite Rank as Endomorphic Modules over Their Endomorphism Ring JO - Matematičeskie zametki PY - 2013 SP - 770 EP - 776 VL - 94 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/MZM_2013_94_5_a11/ LA - ru ID - MZM_2013_94_5_a11 ER -
D. S. Chistyakov. Torsion-Free Abelian Groups of Finite Rank as Endomorphic Modules over Their Endomorphism Ring. Matematičeskie zametki, Tome 94 (2013) no. 5, pp. 770-776. http://geodesic.mathdoc.fr/item/MZM_2013_94_5_a11/