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Tamsui Oxford Journal of Information and Mathematical Sciences Scopus

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篇名 Compositions of Derivations with Central Values on Polynomials
卷期 27:1
作者 Changy, Chi-ming
頁次 067-074
關鍵字 Derivationprime ringPIGPI
出刊日期 201102

中文摘要

英文摘要

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.

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