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Generalized polynomial identities

1975
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Journal of Algebra
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A ring R is said to satisfy a generalized polynomial identity if some polynomial C rilXilris ... ritXiTi,t+l vanishes for all evaluations in R obtained by specializing the indeterminates to elements of R. Interesting results have been obtained by Amitsur [l], Martindale [IO] and Jain [8], based on this seemingly mild condition, but this theory has been hindered by the dependence of definitions of admissible generalized polynomial identities on the extended centroid; this incumberance has

doi:10.1016/0021-8693(75)90170-2
fatcat:r3rclw67kvc7hda7zflzc6odyi