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- Rings with a Derivation Whose Some Power Image is Contained in the Nuclei or Commutative Center
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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 |
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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. |
本系統之摘要資訊系依該期刊論文摘要之資訊為主。