Geodesic
Simple asymmetric doubles, their automorphisms and derivations
Algebra i logika, Tome 58 (2019) no. 5, pp. 627-649

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

A simple right-alternative, but not alternative, superalgebra whose even part coincides with an algebra of second-order matrices is called an asymmetric double. It is known that such superalgebras are eight-dimensional. We give a solution to the isomorphism problem for asymmetric doubles, point out their automorphism groups and derivation superalgebras.
Keywords: asymmetric double, superalgebra.
Mots-clés : isomorphism, automorphism group 
@article{AL_2019_58_5_a3,
     author = {S. V. Pchelintsev and O. V. Shashkov},
     title = {Simple asymmetric doubles, their automorphisms and derivations},
     journal = {Algebra i logika},
     pages = {627--649},
     publisher = {mathdoc},
     volume = {58},
     number = {5},
     year = {2019},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2019_58_5_a3/}
}
TY  - JOUR
AU  - S. V. Pchelintsev
AU  - O. V. Shashkov
TI  - Simple asymmetric doubles, their automorphisms and derivations
JO  - Algebra i logika
PY  - 2019
SP  - 627
EP  - 649
VL  - 58
IS  - 5
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2019_58_5_a3/
LA  - ru
ID  - AL_2019_58_5_a3
ER  - 
%0 Journal Article
%A S. V. Pchelintsev
%A O. V. Shashkov
%T Simple asymmetric doubles, their automorphisms and derivations
%J Algebra i logika
%D 2019
%P 627-649
%V 58
%N 5
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2019_58_5_a3/
%G ru
%F AL_2019_58_5_a3
S. V. Pchelintsev; O. V. Shashkov. Simple asymmetric doubles, their automorphisms and derivations. Algebra i logika, Tome 58 (2019) no. 5, pp. 627-649. http://geodesic.mathdoc.fr/item/AL_2019_58_5_a3/