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Infinite independent systems of identities of alternative commutative algebra over a field of characteristic three
Discussiones Mathematicae. General Algebra and Applications, Tome 24 (2004) no. 1, pp. 5-30.

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Let ₃ denote the variety of alternative commutative (Jordan) algebras defined by the identity x³ = 0, and let ₂ be the subvariety of the variety ₃ of solvable algebras of solviability index 2. We present an infinite independent system of identities in the variety ₃ ∩ ₂₂. Therefore we infer that ₃ ∩ ₂₂ contains a continuum of infinite based subvarieties and that there exist algebras with an unsolvable words problem in ₃ ∩ ₂₂.
Keywords: nfinite independent system of identities, alternative commutative algebra, solvable algebra, commutative Moufang loop 
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Sandu, Nicolae. Infinite independent systems of identities of alternative commutative algebra over a field of characteristic three. Discussiones Mathematicae. General Algebra and Applications, Tome 24 (2004) no. 1, pp. 5-30. http://geodesic.mathdoc.fr/item/DMGAA_2004_24_1_a0/

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