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- W2539822672 abstract "ABSTRACTLet R be a prime ring of characteristic different from 2 with Utumi quotient ring U and extended centroid C, f(x1,…,xn) be a multilinear polynomial over C, which is not central valued on R. If d is a nonzero derivation of R and F is a generalized derivation of R such that d([F2(f(x1,…,xn)),f(x1,…,xn)])=0 for all x1,…,xn∈R, then one of the following holds: there exists a∈U such that F(x) = xa for all x∈R with a2∈C;there exists a∈U such that F(x) = ax for all x∈R with a2∈C." @default.
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- W2539822672 date "2016-10-28" @default.
- W2539822672 modified "2023-10-14" @default.
- W2539822672 title "Derivations vanishing on commutators with generalized derivation of order 2 in prime rings" @default.
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- W2539822672 doi "https://doi.org/10.1080/00927872.2016.1238477" @default.
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