Geodesic
SUBALTERNATIVE ALGEBRAS
Acta mathematica Universitatis Comenianae, Tome 69 (2000) no. 1 
A. Cedilnik. SUBALTERNATIVE ALGEBRAS. Acta mathematica Universitatis Comenianae, Tome 69 (2000) no. 1. http://geodesic.mathdoc.fr/item/AMUC_2000_69_1_a1/
@article{AMUC_2000_69_1_a1,
     author = {A. Cedilnik},
     title = {SUBALTERNATIVE {ALGEBRAS}},
     journal = {Acta mathematica Universitatis Comenianae},
     year = {2000},
     volume = {69},
     number = {1},
     url = {http://geodesic.mathdoc.fr/item/AMUC_2000_69_1_a1/}
}
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JO  - Acta mathematica Universitatis Comenianae
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UR  - http://geodesic.mathdoc.fr/item/AMUC_2000_69_1_a1/
ID  - AMUC_2000_69_1_a1
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%J Acta mathematica Universitatis Comenianae
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Voir la notice de l'article provenant de la source Comenius University

An algebra is called subalternative if the associator of any three linearly dependent elements is their linear combination. We prove that in characteristic $\ne 2, 3$ any such algebra is Maltsev-admissible and can be identified with a hyperplan in certain unital alternative algebra.