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題 名 | Rings with (x,y,z)+(z,y,x) and (N+R²,R) in the left Nucleus.=(x,y,z)+(z,y,x)及(N+R²,R)在左核心的環 |
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作 者 | 嚴正德; | 書刊名 | 中原學報 |
卷 期 | 21 1992.12[民81.12] |
頁 次 | 頁12-17 |
分類號 | 313.28 |
關鍵詞 | 左核心; 環; 非結合環; 半質環; 單純環; 質環; Nonassociative ring; Semiprime ring; Simple ring; Prime ring; |
語 文 | 英文(English) |
中文摘要 | 令R是一非結合環,N左核心。設N是R的一李理想。它是被證明:若R是一半質環且滿足(x, y, z)+(z, y, x)∈N, (R², R)⊂N且(((R, R), R, R), R, R)⊂N •則R是一半質結合環與一半質交換環的半直和。 |
英文摘要 | Let R be a nonassociative ring, N the left nucleus. Assume that N is a Lie ideal of R. It is shown that if R is a semiprime ring which satisfis (x, y, z)+(z, y, x)∈N, (R², R)⊂N, (R², R)⊂N and (((R, R), R, R), R, R)⊂N, then R is a subdirect sum of a semiprime associative ring and a semlpnme commutative ring. |
本系統中英文摘要資訊取自各篇刊載內容。