篇名 | Derivations on Right Ideals of Prime Rings |
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卷期 | 21:2 |
作者 | Filippis, Vincenzo De |
頁次 | 191-200 |
關鍵字 | Prime rings 、 Generalized polynomial identities 、 Differential identities |
出刊日期 | 200511 |
Let R be a prime ring of characteristic different from 2, d a non-zero
derivation of R and I a non-zero right ideal of R such that [d(x)x
n, d(y)] =0, for all x, y ∈ I. Then either R is commutative or d(I)I = 0.