Geodesic
Algebraic automorphisms and $PI$-algebras
Sbornik. Mathematics, Tome 26 (1975) no. 1, pp. 55-69

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This paper is concerned with associative algebras over a field of characteristic zero which possess a $d$-regular algebraic automorphism. (An automorphism is called $d$-regular if the subalgebra of fixed elements satisfies an identity of degree $d$.) It is shown that if an algebra admits a $d$-regular algebraic automorphism such that no root of unity is a multiple root of its minimum polynomial, then it is a $PI$-algebra. Bibliography: 8 titles. 
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     author = {V. E. Barbaumov},
     title = {Algebraic automorphisms and $PI$-algebras},
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V. E. Barbaumov. Algebraic automorphisms and $PI$-algebras. Sbornik. Mathematics, Tome 26 (1975) no. 1, pp. 55-69. http://geodesic.mathdoc.fr/item/SM_1975_26_1_a2/