頁籤選單縮合
| 題 名 | Derivations Cocentralizing Multilinear Polynomials |
|---|---|
| 作 者 | 王彩蓮; | 書刊名 | Taiwanese Journal of Mathematics |
| 卷 期 | 1:1 1997.03[民86.03] |
| 頁 次 | 頁31-37 |
| 分類號 | 310 |
| 關鍵詞 | Multilinear polynomial; Derivation; Generalized polynomial identity; |
| 語 文 | 英文(English) |
| 英文摘要 | Let R be a prime ring with center Z and let f(X1,...,Xn) be a multilinear polynomial which is not central-valued on R. Suppose that d and δ are derivations on R such that d(f(x1,...,x�a))f(x1,...,x�a)-f(x1,...,x�a)δ (f(x1,...,x�a))�eZ for all x1,...,x�ain some nonzero ideal of R. Then either d= δ=0 or δ=-d and f(X1,...,Xn)�惺s central-valued on R, except when char R = 2 and R satisfies the standard identity s�� in 4 variables. |
本系統中英文摘要資訊取自各篇刊載內容。