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頁籤選單縮合
題 名 | Nil[fec8]-Polynomials of Prime Rings with Involutions=對合質環上取冪零值的多項式 |
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作 者 | 葉啟村; | 書刊名 | 臺南師院學報 |
卷 期 | 32 1999.06[民88.06] |
頁 次 | 頁369-376 |
分類號 | 313.28 |
關鍵詞 | 對合質環; 取冪零值; 多項式; Prime ring; Involution; Nil polynomial; |
語 文 | 英文(English) |
中文摘要 | 設對合質環(prime ring with involution)(R,��)沒有非零的冪零單邊理想 ( non-zero nil one-sided ideals ), 以及 f 是 R 上的一個取冪零值之對合多項式( nil �� -polynomial )。如果 R 的特徵數( characteristic )是零及有一個非零的元素 a 使得 a �� a = 0,則存在一自然數 N 使得 f �饁O一個對合�痤它﹛]�� -identity )。 |
英文摘要 | Assume that (R,��) is a prime ring without non-zero nil one-sided ideals and that f(x ��,.....,x ��,x ����,.....,x ���� ) is a �� -polynomial in the non-commuting variables x ��,......,x �� and with the coefficients in the extended controid C of R. If for any r ��,......,r ���e R, there exists an integer n = n(r ��,......,r �� ) ≧ 1, depending on r ��,.....,r ���e R, such that f(x ��,.....,x ��,x ����,.....,x ���� ) �� =0. If char C=0 and R has a non-zero element a such that a �� a=0, then there exists a fixed positive integer N such taht f(x ��,....,x ��,x ����,......,x ���� ) �� = 0 for all r �� ,.....,r ���eR. |
本系統中英文摘要資訊取自各篇刊載內容。