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- W2039558802 abstract "Let R be a prime ring of characteristic different from 2 with extended centroid C. Let F be a generalized derivation of R, L a non-central Lie ideal of R, f(x 1 , …, x n ) a polynomial over C and f(R)={f(r 1 , …, r n ): r i ∈ R}. We study the following cases: (1) [F(u), F(v)] k =0 for all u, v ∈ L, where k ≥ 1 is a fixed integer; (2) [F(u), F(v)] = 0 for all u, v ∈ f(R); (3) F(u) ◦ F(v)=0 for all u, v ∈ f(R); (4) F(u) ◦ F(v)=u ◦ v for all u, v ∈ f(R). We obtain a description of the structure of R and information on the form of F." @default.
- W2039558802 created "2016-06-24" @default.
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- W2039558802 date "2010-12-01" @default.
- W2039558802 modified "2023-09-24" @default.
- W2039558802 title "Commutativity and Skew-commutativity Conditions with Generalized Derivations" @default.
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- W2039558802 doi "https://doi.org/10.1142/s1005386710000787" @default.
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