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- W2344284513 abstract "Let R be a prime ring of characteristic different from 2 with Utumi quotient ring U and extended centroid C, F a nonzero generalized derivation of R, I an ideal of R, and f(x1,…, xn) a multilinear polynomial over C which is not central valued on R. If 0 ≠ a ∈ R such that for all u, v ∈ f(I), where f(I) is the set of all evaluations of f(x1,…, xn) in I, then there exists b ∈ U such that F(x) = bx for all x ∈ R and one of the following statements holds: f(x1,…, xn)2 is central valued on R;ab = 0." @default.
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- W2344284513 date "2016-04-29" @default.
- W2344284513 modified "2023-09-26" @default.
- W2344284513 title "Left Annihilator of Commutator Identity with Generalized Derivations and Multilinear Polynomials in Prime Rings" @default.
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- W2344284513 doi "https://doi.org/10.1080/00927872.2015.1085996" @default.
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