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頁籤選單縮合
| 題 名 | Rings with Associators in the Nuclei=結合子在核心之環 |
|---|---|
| 作 者 | 嚴正德; | 書刊名 | 中原學報 |
| 卷 期 | 28:1 2000.03[民89.03] |
| 頁 次 | 頁7-9 |
| 分類號 | 313.28 |
| 關鍵詞 | 非結合環; 核心; 結合子理想; 半質環; Nonassociative ring; Nucleus; Associator ideal; Semiprime ring; |
| 語 文 | 英文(English) |
| 中文摘要 | 令R是一非結合環,N,M及L分別是左,中及右核心。我們證明若R是一半質環且滿 足 (R, R, R) �e N ∩ M 或 M ∩ L 或 N ∩ L 則 N=M=L 且 2(R,R,R)=0。 此外, E. Kleinfeld 的結果 [1] 被能改進。 |
| 英文摘要 | Let R be a nonassociative ring, N, M and L the left nucleus, middle nucleus and right nucleus respectively. We prove that if R is a semiprime ring and satisfies (R, R, R) �e N ∩ M or M ∩ L or N ∩ L then N=M=L and 2(R,R,R)=0. Moreover, if the Abelian subgroup ((R,R,R),+) of (R,+) has no elements of order 2 then R is associative. Thus, E. Kleinfeld's result [1] can be improved. |
本系統中英文摘要資訊取自各篇刊載內容。