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• W2145591884 abstract "By a right (left resp.) S2n-polynomial we mean a multilinear polynomial f(X1,…, Xt) over the ring of integers with noncommuting in-determinates Xisuch that for any prime ring R if f( X1,…, X t) is a PI of some nonzero right (left resp.) ideal of R, then R satisfies S2nthe standard identity of degree 2n. In this paper we prove the theorem:Let R be a prime ring, d a nonzero derivation of R, L a noncommutative Lie ideal of R and f(X1,…, Xt) a right or left S2n-polynomial. Suppose that f(d( u1)n1,…,d(ut)nt)=0 for all uiu,i[d] L, where n1,…,ntare fixed positive integers. Then R satisfies S2n+2. Also, the one-sided version of the theorem is given." @default.
• W2145591884 created "2016-06-24" @default.
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• W2145591884 date "1997-01-01" @default.
• W2145591884 modified "2023-09-25" @default.
• W2145591884 title "Derivations with values satisfying a right or left S2n–polynomial" @default.
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• W2145591884 doi "https://doi.org/10.1080/00927879708825950" @default.
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