篇名 | Compositions of Derivations with Central Values on Polynomials |
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卷期 | 27:1 |
作者 | Changy, Chi-ming |
頁次 | 067-074 |
關鍵字 | Derivation 、 prime ring 、 PI 、 GPI |
出刊日期 | 201102 |
Let R be a prime ring with extended centroid C, ρ a nonzero right ideal of R, f(X1; : : : ;Xt) a non-central polynomial with zero constant term over C, not necessarily multilinear, and δ, d two nonzero deriva-tions of R. We determine the structures of R, δ and d when δd(f(X1; : : : ;Xt))is central-valued on ρ. The theorem gives a generalization of several re-lated results in the literature.