| 域上三角矩阵空间保幂等与立方幂等的加法单映射 |
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| 引用本文： | 张显,曹重光.域上三角矩阵空间保幂等与立方幂等的加法单映射[J].数学杂志,2004,24(4):416-420. |
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| 作者姓名： | 张显 曹重光 |
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| 作者单位： | 黑龙江大学数学系,黑龙江,哈尔滨,150080 |
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| 基金项目： | 国家及黑龙江省自然科学基金支持，省教育厅科研基金支持 |
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| 摘 要： | 本文刻划了特征不为2的域上三角矩阵空间保幂等加法单映射，并由此获得了特征不为2及3的域上三角矩阵空间保立方幂等加法单映射的形式．
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| 关 键 词： | 加法映射 幂等阵 立方幂等阵 特征数 |
| 文章编号： | 0255-7797(2004)04-0416-05 |
ADDITIVE INJECTIVE MAPS PRESERVING IDEMPOTENCE AND TRIPOTENCE ON THE SPACE OF TRIANGULAR MATRICES OVER FIELDS |
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| ZHANG Xian,CAO Chong-guang.ADDITIVE INJECTIVE MAPS PRESERVING IDEMPOTENCE AND TRIPOTENCE ON THE SPACE OF TRIANGULAR MATRICES OVER FIELDS[J].Journal of Mathematics,2004,24(4):416-420. |
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| Authors: | ZHANG Xian CAO Chong-guang |
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| Abstract: | In this paper we characterize additive injective maps preserving idempotence on the space of triangular matrices over fields of characteristic not 2, and thereby obtain the forms of additive injective maps preserving tripotence on the space of triangular matrices over fields of characteristic not 2 or 3. |
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| Keywords: | additive map idemptotent matrix tripotent matrix characteristic number |
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