| 孙成成,马晶,郎励志.理想上的广义$(\theta,\phi)$-导子的正交性[J].数学研究及应用,2011,31(2):315~322 |
| 理想上的广义$(\theta,\phi)$-导子的正交性 |
| Orthogonality of Generalized $(\theta,\phi)$-Derivations on Ideals |
| 投稿时间：2009-03-25 修订日期：2010-01-26 |
| DOI：10.3770/j.issn:1000-341X.2011.02.015 |
| 中文关键词: 正交 广义$(-\theta,\phi)$-导子 半素环. |
| 英文关键词:orthogonal generalized $(\theta,\phi)$-derivation semiprime ring. |
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| 中文摘要: |
| 本文讨论了半素环的非零理想上的广义$(\theta,\phi)$-导子的正交性给出了半素环上的广义$(\theat,\phi)$-导子在2-无挠半素环的非零理想上正交的充分必要条件.推广了Bre\v{s}ar和Vukman在对Posner定理研究中得到的一些结论. |
| 英文摘要: |
| In this paper, necessary and sufficient conditions concerning the orthogonality and the composition of a couple of generalized $(\theta,\phi)$-derivations on a nonzero ideal of a semiprime ring are presented. These results are generalizations of several results of Bre\v{s}ar and Vukman, which are related to a theorem of Posner on the product of two derivations on a prime ring. |
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