Geodesic
Characterizing Non-Matrix Properties of Varieties of Algebras in the Language of Forbidden Objects
Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 473-496.

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We discuss characterizations of some non-matrix properties of varieties of associative algebras in the language of forbidden objects. Properties under consideration include the Engel property, Lie nilpotency, permutativity. We formulate a few open problems.
Keywords: Algebras with Polynomial Identity, Non-Matrix Varieties, Engel Property, Lie Nilpotency, Semigroup Identities, Forbidden Algebras, Varieties of Associative Algebras 
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     author = {Finogenova, Olga},
     title = {Characterizing {Non-Matrix} {Properties} of {Varieties} of {Algebras} in the {Language} of {Forbidden} {Objects}},
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Finogenova, Olga. Characterizing Non-Matrix Properties of Varieties of Algebras in the Language of Forbidden Objects. Serdica Mathematical Journal, Tome 38 (2012) no. 1-3, pp. 473-496. http://geodesic.mathdoc.fr/item/SMJ2_2012_38_1-3_a21/