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- W2027944287 abstract "Let R be a prime ring with extended centroid C and two-sided Martindale quotient ring Q. Let d be a nonzero derivation of R, f(x 1,…, x n ) a multilinear polynomial over C, b ∈ R, and I a nonzero right ideal of R. Suppose that for all r i ∈ I. If bI = 0, then either bd(I) = 0 or there exists an idempotent element e ∈ soc(RC) such that IC = eRC and f(x 1,…, x n ) is a PI for eRCe. If bI ≠ 0, then there exists an idempotent element e ∈ soc(RC) such that IC = eRC and one of the following holds: (i) d = ad(a) for some a ∈ Q such that aI = 0 and f(x 1,…, x n ) k+1 is central- p000valued on eRCe; (ii) f(x 1,…, x n ) is central-valued in eRCe; (iii) dim C eRCe = 4 and char R = 2." @default.
- W2027944287 created "2016-06-24" @default.
- W2027944287 creator A5084460468 @default.
- W2027944287 date "2010-12-30" @default.
- W2027944287 modified "2023-10-17" @default.
- W2027944287 title "Annihilator Conditions of Derivations on Multilinear Polynomials" @default.
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- W2027944287 doi "https://doi.org/10.1080/00927870903337992" @default.
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