Minimal varieties of algebras of exponential growth.

Giambruno, A.; Zaicev, M.

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Stanley Burris (1971)

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W. Bartol, D. Niwiński, L. Rudak (1985)

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On non-Spechtianness of the variety of associative rings that satisfy the identity $x^{32} = 0$ .

Grishin, A.V. (2000)

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Characterizing Non-Matrix Properties of Varieties of Algebras in the Language of Forbidden Objects

Finogenova, Olga (2012)

Serdica Mathematical Journal

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2010 Mathematics Subject Classification: 16R10, 16R40. 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. * The author acknowledges support from the Russian Foundation for Basic Research, grant 10-01-00524.