Geodesic
Jordan $s$-identities in three variables
Algebra i logika, Tome 50 (2011) no. 1, pp. 89-121.

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

It is proved that all Jordan $s$-identities in three variables are consequences of the Glennie $s$-identity.
Keywords: Jordan $s$-identities, free Jordan algebras, free special Jordan algebras. 
@article{AL_2011_50_1_a4,
     author = {S. R. Sverchkov},
     title = {Jordan $s$-identities in three variables},
     journal = {Algebra i logika},
     pages = {89--121},
     publisher = {mathdoc},
     volume = {50},
     number = {1},
     year = {2011},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_2011_50_1_a4/}
}
TY  - JOUR
AU  - S. R. Sverchkov
TI  - Jordan $s$-identities in three variables
JO  - Algebra i logika
PY  - 2011
SP  - 89
EP  - 121
VL  - 50
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/AL_2011_50_1_a4/
LA  - ru
ID  - AL_2011_50_1_a4
ER  - 
%0 Journal Article
%A S. R. Sverchkov
%T Jordan $s$-identities in three variables
%J Algebra i logika
%D 2011
%P 89-121
%V 50
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/AL_2011_50_1_a4/
%G ru
%F AL_2011_50_1_a4
S. R. Sverchkov. Jordan $s$-identities in three variables. Algebra i logika, Tome 50 (2011) no. 1, pp. 89-121. http://geodesic.mathdoc.fr/item/AL_2011_50_1_a4/

[1] K. A. Zhevlakov, A. M. Slinko, I. P. Shestakov, A. I. Shirshov, Koltsa, blizkie k assotsiativnym, Nauka, M., 1978 | MR | Zbl

[2] A. A. Albert, L. J. Paige, “On homomorphism property of a certain Jordan algebras”, Trans. Am. Math. Soc., 93 (1959), 20–29 | DOI | MR | Zbl

[3] C. M. Glennie, “Some identities valid in special Jordan algebras but not valid in all Jordan algebras”, Pac. J. Math., 16:1 (1966), 47–59 | MR | Zbl

[4] K. McCrimmon, “A not-so-natural $s$-identity”, Commun. Algebra, 15 (1987), 2099–2118 | DOI | MR | Zbl

[5] A. Thedy, “A natural $s$-identity of Jordan algebras”, Commun. Algebra, 15 (1987), 2081–2098 | DOI | MR | Zbl

[6] Yu. A. Medvedev, “Svobodnye iordanovy algebry”, Algebra i logika, 27:2 (1988), 172–200 | MR | Zbl

[7] K. McCrimmon, A taste of Jordan algebras, Universitext, Springer, New York, NY, 2004 | MR | Zbl

[8] V. T. Filippov, V. K. Kharchenko, I. P. Shestakov, Dnestrovskaya tetrad, Nereshennye problemy teorii kolets i modulei, 4-e izd., Izd-vo IM SO RAN, Novosibirsk, 1993 | MR

[9] S. R. Sverchkov, “Algebra Li kososimmetrichnykh elementov i ee primenenie v teorii iordanovykh algebr”, Sib. matem. zh., 51:3 (2010), 626–637 | MR | Zbl