Abstract
The classical result that an algebra which satisfies a polynomial identity satisfies a powerS 2n [x]m=0 of the standard identity, is generalized to arbitrary rings.
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Reference
S. A. Amitsur,Prime rings having polynomial identities with arbitrary coefficients, Proc. Lond. Math. Soc.17 (1967), 470–486.
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Amitsur, S.A. A note on pi-rings. Israel J. Math. 10, 210–211 (1971). https://doi.org/10.1007/BF02771571
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DOI: https://doi.org/10.1007/BF02771571