Geodesic
Isotopes of prime $(-1,1)$- and Jordan algebras
Algebra i logika, Tome 49 (2010) no. 3, pp. 388-423

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

We deal with adjoint commutator and Jordan algebras of isotopes of prime strictly $(-1,1)$-algebras. It is proved that a system of identities of the form $[x_1,x_2,x_2,x_3,\dots,x_n]$ for $n=2,\dots,5$ is discernible on isotopes of prime $(-1,1)$-algebras. Also it is shown that adjoint Jordan algebras for suitable isotopes of prime $(-1,1)$-algebras may possess distinct sets of identities. In particular, isotopes of a prime Jordan monster have different sets of identities in general.
Keywords: right alternative algebra, strictly $(-1,1)$-algebra, Jordan algebra, prime algebra, isotope, identity, Lie nilpotence.
Mots-clés : homotope 
@article{AL_2010_49_3_a5,
     author = {S. V. Pchelintsev},
     title = {Isotopes of prime $(-1,1)$- and {Jordan} algebras},
     journal = {Algebra i logika},
     pages = {388--423},
     publisher = {mathdoc},
     volume = {49},
     number = {3},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2010_49_3_a5/}
}
TY  - JOUR
AU  - S. V. Pchelintsev
TI  - Isotopes of prime $(-1,1)$- and Jordan algebras
JO  - Algebra i logika
PY  - 2010
SP  - 388
EP  - 423
VL  - 49
IS  - 3
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2010_49_3_a5/
LA  - ru
ID  - AL_2010_49_3_a5
ER  - 
%0 Journal Article
%A S. V. Pchelintsev
%T Isotopes of prime $(-1,1)$- and Jordan algebras
%J Algebra i logika
%D 2010
%P 388-423
%V 49
%N 3
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2010_49_3_a5/
%G ru
%F AL_2010_49_3_a5
S. V. Pchelintsev. Isotopes of prime $(-1,1)$- and Jordan algebras. Algebra i logika, Tome 49 (2010) no. 3, pp. 388-423. http://geodesic.mathdoc.fr/item/AL_2010_49_3_a5/