頁籤選單縮合
題 名 | Derivations and Centralizing Maps on Skew Elements |
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作 者 | Lee,Tsong-cherng; | 書刊名 | 東吳數理學報 |
卷 期 | 24:4 1998.10[民87.10] |
頁 次 | 頁273-290 |
分類號 | 310 |
關鍵詞 | Prime ring with involution; Centralizing map; Derivation; Skew element; |
語 文 | 英文(English) |
英文摘要 | Let R be a prime ring with involution��,Z the center of R and C the extended centroid of R. Denote by K={ x �eR�Hx��=-x }the set of skew elements of R. In this paper the following two main results are proved. (Ⅰ)Let d and δ be derivations of R. If〔 d(k),δ(k)〕�eZ for all k �eK then d, δ are C-dependent unless R satisfies the standard polynomial identity S��. (Ⅱ)Suppose that dim RC ≠ 4,16 and f:K → R is an additive map such that 〔f(k), k〕�eZ for all k �eK. Then there exist �a�eC and an additive map :K→C such that f(k)=λk + (k) for all k �eK. |
本系統中英文摘要資訊取自各篇刊載內容。