Algebraic algebras and prime varieties of associative algebras
Sbornik. Mathematics, Tome 200 (2009) no. 5, pp. 723-751

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The following problem of Kemer is solved for prime varieties of associative algebras with unit: it is shown that over an infinite field of positive characteristic, each prime variety of associative algebras with unit is generated by an algebraic algebra of bounded algebraicity index over this field. Bibliography: 10 titles.
Keywords: polynomial identities, varieties of algebras
Mots-clés : algebraic algebras.
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     author = {L. M. Samoilov},
     title = {Algebraic algebras and prime varieties of associative algebras},
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L. M. Samoilov. Algebraic algebras and prime varieties of associative algebras. Sbornik. Mathematics, Tome 200 (2009) no. 5, pp. 723-751. http://geodesic.mathdoc.fr/item/SM_2009_200_5_a5/