Simple finite-dimensional right-alternative superalgebras with semisimple strongly associative even part
Sbornik. Mathematics, Tome 208 (2017) no. 2, pp. 223-236
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It is shown that a simple finite-dimensional right-alternative unital superalgebra with semisimple strongly associative even part over a field of characteristic $\ne 2$ is either non-associative, or a superalgebra of Abelian type. A classification of such superalgebras over an algebraically closed field is given.
Bibliography: 21 titles.
Keywords:
simple superalgebra, right-alternative superalgebra, superalgebra of Abelian type.
@article{SM_2017_208_2_a2,
author = {S. V. Pchelintsev and O. V. Shashkov},
title = {Simple finite-dimensional right-alternative superalgebras with semisimple strongly associative even part},
journal = {Sbornik. Mathematics},
pages = {223--236},
publisher = {mathdoc},
volume = {208},
number = {2},
year = {2017},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2017_208_2_a2/}
}
TY - JOUR AU - S. V. Pchelintsev AU - O. V. Shashkov TI - Simple finite-dimensional right-alternative superalgebras with semisimple strongly associative even part JO - Sbornik. Mathematics PY - 2017 SP - 223 EP - 236 VL - 208 IS - 2 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_2017_208_2_a2/ LA - en ID - SM_2017_208_2_a2 ER -
%0 Journal Article %A S. V. Pchelintsev %A O. V. Shashkov %T Simple finite-dimensional right-alternative superalgebras with semisimple strongly associative even part %J Sbornik. Mathematics %D 2017 %P 223-236 %V 208 %N 2 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_2017_208_2_a2/ %G en %F SM_2017_208_2_a2
S. V. Pchelintsev; O. V. Shashkov. Simple finite-dimensional right-alternative superalgebras with semisimple strongly associative even part. Sbornik. Mathematics, Tome 208 (2017) no. 2, pp. 223-236. http://geodesic.mathdoc.fr/item/SM_2017_208_2_a2/