Simple finite-dimensional right-alternative unital superalgebras with strongly associative even part
Sbornik. Mathematics, Tome 208 (2017) no. 4, pp. 531-545

Voir la notice de l'article provenant de la source Math-Net.Ru

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/