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題 名 | Ring with a Derivation Whose Image is Contained in N∩C=環有一導算它的影像被包含在N∩C |
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作 者 | 嚴正德; | 書刊名 | 中原學報 |
卷 期 | 22 1993.12[民82.12] |
頁 次 | 頁7-10 |
分類號 | 313.28 |
關鍵詞 | 非結合環; 核心; 交換中心; 導算; d-不變的; 半質環; 質環; Nonassociative Ring; Nucleus; Commutative Center; Derivation; d-invariant; Semiprime Ring; Prime Ring; |
語 文 | 英文(English) |
中文摘要 | 令R是一非結合環,及N,C及I分別是左核心,交換中心及R的結合子理想。我們證明若R是一半算環且有一導算d使得d(R)⊆N∩C則d²(l)=2d(R)d(l)=0。若R是一質環且我們進一步假設d(R)²⊆C則R是結合的或d²=2d(R)²=0。 |
英文摘要 | Let R be a nonassociative ring and N, C, and 1 be the left nucleus, commutative center and associator ideal of R respectively. We prove that if R is a semiprime ring with a derivation d such that d(R)⊆;N∩C then d²(I) =2d(R)d(I) =0. If R is a prime ring and we assume further d(R)²⊆C, then R is associative of d²=2d(R)²=0. |
本系統中英文摘要資訊取自各篇刊載內容。