Generalized Differential Identities of (Semi-)Prime Rings |
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作者姓名: | Feng WEI |
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作者单位: | Department of Applied Mathematics, Beijing Institute of Technology, Beijing 100081, P. R. China |
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基金项目: | This work is supported by the mathematical Tianyuan Research Foundation of China (10426005) and the Basic Research Foundation of Beijing Institute of Technology of China. |
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摘 要: | Let R be a semiprime ring with characteristic p≥0 and RF be its left Martindale quotient ring. If ф(Xi^△j) is a reduced generalized differential identity for an essential ideal of R, then ф(Zije(△j )) is a generalized polynomial identity for RF, where e(△j) are idempotents in the extended centroid of R determined by △j. Let R be a prime ring and Q be its symmetric Martindale quotient ring. If ф(Xi△j) is a reduced generalized differential identity for a noncommutative Lie ideal of R, then ф(Zij) is a generalized polynomial identity for [R, R]. Moreover, if ф(Xi△j) is a reduced generalized differential identity, with coefficients in Q, for a large right ideal of R, then ф(Zij) is a generalized polynomial identity for Q.
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关 键 词: | 微分恒等式 环论 半素环 广义性 |
收稿时间: | 2003-07-15 |
修稿时间: | 2003-07-152004-02-14 |
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