Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part
Sbornik. Mathematics, Tome 208 (2017) no. 4, pp. 531-545
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We prove that the even part of a simple finite-dimensional right-alternative unital superalgebra over a field of characteristic 0 is semisimple if it is strongly associative.
Bibliography: 13 titles.
Keywords:
simple superalgebra, right-alternative superalgebra, superalgebra with strongly associative even part.
@article{SM_2017_208_4_a3,
author = {S. V. Pchelintsev and O. V. Shashkov},
title = {Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part},
journal = {Sbornik. Mathematics},
pages = {531--545},
publisher = {mathdoc},
volume = {208},
number = {4},
year = {2017},
language = {en},
url = {http://geodesic.mathdoc.fr/item/SM_2017_208_4_a3/}
}
TY - JOUR AU - S. V. Pchelintsev AU - O. V. Shashkov TI - Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part JO - Sbornik. Mathematics PY - 2017 SP - 531 EP - 545 VL - 208 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/SM_2017_208_4_a3/ LA - en ID - SM_2017_208_4_a3 ER -
%0 Journal Article %A S. V. Pchelintsev %A O. V. Shashkov %T Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part %J Sbornik. Mathematics %D 2017 %P 531-545 %V 208 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/SM_2017_208_4_a3/ %G en %F SM_2017_208_4_a3
S. V. Pchelintsev; O. V. Shashkov. Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part. Sbornik. Mathematics, Tome 208 (2017) no. 4, pp. 531-545. http://geodesic.mathdoc.fr/item/SM_2017_208_4_a3/