Varieties of two-step solvable algebras of type $(\gamma,\delta)$
Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 3, pp. 157-180.

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The structure of the set of all nonnilpotent subvarieties of the variety of two-step solvable algebras of type $(\gamma,\delta)$ is studied. An additive basis of a free metabelian $(\gamma,\delta)$-algebra is constructed. It is proved that any identity in a nonnilpotent metabelian $(\gamma,\delta)$-algebra of degree at least 6 is a consequence of four defining relations.
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S. V. Platonova. Varieties of two-step solvable algebras of type $(\gamma,\delta)$. Fundamentalʹnaâ i prikladnaâ matematika, Tome 10 (2004) no. 3, pp. 157-180. http://geodesic.mathdoc.fr/item/FPM_2004_10_3_a7/

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