Geodesic
Defining relations and identities of finite-dimensional nilpotent algebra $R$ with condition $dim R^{2}/R^{3} = 2$
Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 1052-1066

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

In this paper we describe defining relations of finite-dimensional nilpotent algebra $R$ with condition $dim R^{2}/R^{3} = 2$, it is proved that such algebra $R$ satisfies the standard identity of degree four.
Keywords: defining relations, identities, nilpotent algebra. 
@article{SEMR_2016_13_a32,
     author = {E. P. Petrov},
     title = {Defining relations and identities of finite-dimensional nilpotent algebra $R$ with condition $dim R^{2}/R^{3} = 2$},
     journal = {Sibirskie \`elektronnye matemati\v{c}eskie izvesti\^a},
     pages = {1052--1066},
     publisher = {mathdoc},
     volume = {13},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SEMR_2016_13_a32/}
}
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E. P. Petrov. Defining relations and identities of finite-dimensional nilpotent algebra $R$ with condition $dim R^{2}/R^{3} = 2$. Sibirskie èlektronnye matematičeskie izvestiâ, Tome 13 (2016), pp. 1052-1066. http://geodesic.mathdoc.fr/item/SEMR_2016_13_a32/