Nill ∗ -polynomials in rings (original) (raw)

Linear and Multilinear Algebra, 1989

A. Giambruno

Abstract

Let R be an algebra with involution over a field F of characteristic different from 2 and let be a multilinear -polynomial over F which, when evaluated in R, takes nilpotent values. We prove that if R has no nil right ideals and , then f is a -polynomial identity for R.

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