Correlation between $E$-groups and properties of $n$-multiplications on Abelian groups
Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 5, pp. 55-63
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In this paper, we consider multilinear maps of an Abelian group into itself ($n$-multiplications) and their properties. We obtain equivalent conditions for an Abelian group to be an $E$-group in terms of $n$-multiplications. A correlation between properties of $n$-multiplications on the Abelian group at various $n$ is found.
@article{FPM_2019_22_5_a5,
author = {O. A. Karpov},
title = {Correlation between $E$-groups and properties of $n$-multiplications on {Abelian} groups},
journal = {Fundamentalʹna\^a i prikladna\^a matematika},
pages = {55--63},
publisher = {mathdoc},
volume = {22},
number = {5},
year = {2019},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a5/}
}
TY - JOUR AU - O. A. Karpov TI - Correlation between $E$-groups and properties of $n$-multiplications on Abelian groups JO - Fundamentalʹnaâ i prikladnaâ matematika PY - 2019 SP - 55 EP - 63 VL - 22 IS - 5 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a5/ LA - ru ID - FPM_2019_22_5_a5 ER -
O. A. Karpov. Correlation between $E$-groups and properties of $n$-multiplications on Abelian groups. Fundamentalʹnaâ i prikladnaâ matematika, Tome 22 (2019) no. 5, pp. 55-63. http://geodesic.mathdoc.fr/item/FPM_2019_22_5_a5/