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- W1996607604 abstract "ABSTRACT Let R be a prime ring with a nonzero derivation d and let f(X 1,…,X t ) be a multilinear polynomial over C, the extended centroid of R. Suppose that b[d(f(x 1,…,x t )), f(x 1,…,x t )] n = 0 for all x i ∈ R, where 0 ≠ b ∈ R and n is a fixed positive integer. Then f(X 1,…,X t ) is centrally valued on R unless char R = 2 and dim C RC = 4. We prove a more generalized version by replacing R with a left ideal." @default.
- W1996607604 created "2016-06-24" @default.
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- W1996607604 date "2005-03-09" @default.
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- W1996607604 title "DERIVATIONS WITH ENGEL AND ANNIHILATOR CONDITIONS ON MULTILINEAR POLYNOMIALS" @default.
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- W1996607604 doi "https://doi.org/10.1081/agb-200049880" @default.
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