| 关于矩阵半环的导子 |
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| 引用本文： | 庄金洪,谭宜家.关于矩阵半环的导子[J].福州大学学报(自然科学版),2008,36(5):634-638. |
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| 作者姓名： | 庄金洪 谭宜家 |
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| 作者单位： | 福州大学数学与计算机科学学院,福建,福州,350108 |
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| 基金项目： | 福建省自然科学基金，福建省教育厅科研项目 |
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| 摘 要： | 探讨交换半环上矩阵半环的导子,证明了交换半环R上矩阵半环的导子均可表为一个内导子和R的一个诱导导子之和.
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| 关 键 词： | 交换半环 矩阵半环 导子 内导子 |
On derivations of matrix semirings |
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| ZHUANG Jin-hong,TAN Yi-jia.On derivations of matrix semirings[J].Journal of Fuzhou University(Natural Science Edition),2008,36(5):634-638. |
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| Authors: | ZHUANG Jin-hong TAN Yi-jia |
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| Institution: | (College of Mathematics and Computer Science,Fuzhou University,Fuzhou,Fujian 350108,China) |
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| Abstract: | The derivations in the matrix semiring Mn(R)over a commutative semiring R is studied and it is proved that every derivation of the semiring Mn(R) is the sum of an inner derivation of Mn(R) and another derivation which is induced from a derivation of R. |
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| Keywords: | commutative semiring matrix semiring derivation inner derivation |
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