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相關文獻
- Rings with a Derivation Whose Some Power Image is Contained in the Nuclei or Commutative Center
- Rings with Associators in the Nuclei
- Ring with a Derivation Whose Image is Contained in N∩C
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| 題 名 | Rings with a Derivation Whose Some Power Image is Contained in the Nuclei or Commutative Center=環有一導算它的某些冪被包含在核心或交換中心 |
|---|---|
| 作 者 | 嚴正德; | 書刊名 | 中原學報 |
| 卷 期 | 33:3 民94.09 |
| 頁 次 | 頁459-462 |
| 分類號 | 313.28 |
| 關鍵詞 | 核心; 多核心; 交換中心; 非結合單純環; 非結合質環; 理想; 結合子理想; 導算; Nucleus; Nuclei; Communtative center; Nonassociative simple ring; Nonassociative prime ring; Ideal; Associator ideal; Derivation; |
| 語 文 | 英文(English) |
| 中文摘要 | 此篇論文它被證明若R是一非結合質環有一導算d使得dn(R)□核心且d3n-2(R)+d3n-2(R)+Rd3n-2(R),此處n是一固定正整數,則R 是結合的或d3n-1=(3n-1)d3n-2=0。此部分推廣中之主要結果。對於非結合單純環情形,一此弱條件也被考慮。 |
| 英文摘要 | It is shown in this article that if R is a prime nonassociative ring with a derivation d such that dn(R) is contained in the nucleus and d3n-2(R)+d3n-2(R)+Rd3n-2(R) where n is a fixed positive integer then R is associative or d3n-1=(3n-1)d3n-2=0. This partially generalizes the main result is. Some weaker conditions for the simple nonassociative rings are also considered. |
本系統中英文摘要資訊取自各篇刊載內容。