Geodesic
Solvable just-non-Cross varieties of Lie rings
Sbornik. Mathematics, Tome 29 (1976) no. 3, pp. 345-358 
Yu. A. Bahturin; A. Yu. Ol'shanskii. Solvable just-non-Cross varieties of Lie rings. Sbornik. Mathematics, Tome 29 (1976) no. 3, pp. 345-358. http://geodesic.mathdoc.fr/item/SM_1976_29_3_a3/
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     title = {Solvable {just-non-Cross} varieties of {Lie} rings},
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Voir la notice de l'article provenant de la source Math-Net.Ru

A variety of Lie rings is called just-non-Cross if it itself is not Cross, but each of its proper subvarieties is Cross, i.e. is generated by a finite ring. In this paper, we completely describe the solvable just-non-Cross varieties both of Lie rings and of Lie $R$-algebras where $R$ is a finite commutative ring with identity and, in particular, where $R$ is a finite field. We find algorithms which allow us to determine whether a given identity defines a Cross variety of Lie algebras; also, using the multiplication and addition tables of a finite Lie algebra, we find algorithms for extracting its identities. Bibliography: 10 titles.

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