| 保矩阵群逆的线性算子 |
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| 引用本文： | 郝立丽,曹重光. 保矩阵群逆的线性算子[J]. 黑龙江大学自然科学学报, 2003, 20(2): 32-34 |
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| 作者姓名： | 郝立丽 曹重光 |
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| 作者单位： | 黑龙江大学,理学院,黑龙江,哈尔滨,150080;黑龙江大学,理学院,黑龙江,哈尔滨,150080 |
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| 基金项目： | 黑龙江省自然科学基金(A01-07),黑龙江省教育厅科学技术研究项目(15011014) |
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| 摘 要： | 近年来一些作者对线性保持问题给予了极大的关注,但研究在环上保群逆的文章尚很少,文献[5]给出了2是单位的环上矩阵保群逆的线性算子的刻划。补充了[5]的结果,令R是特征2的主理想整环,M_0(R)记R上n×n矩阵代数,刻划了在R上保M_n(R)中矩阵的群逆的线性算子的形式。
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| 关 键 词： | 主理想整环 线性算子 矩阵的群逆 |
| 文章编号： | 1001-7011(2003)02-0032-03 |
| 修稿时间： | 2002-07-15 |
Linear operators in preserving group inverses of matrices |
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| HAO Li-li,CAO Chong-guang. Linear operators in preserving group inverses of matrices[J]. Journal of Natural Science of Heilongjiang University, 2003, 20(2): 32-34 |
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| Authors: | HAO Li-li CAO Chong-guang |
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| Abstract: | In recent years, some authors have given more attention to kinear preserver problem, but the articles on preserving group inverses of matrices over a ring are still scarce. [5] gives a characterization on linear operators presering group inverses of matrices over a ring with 2 is an unit. The study of [5] is also supplemented. Let R be a principal ideal domain with chR = 2 and Mn(R) denotes the n x n matric algebras over R, the forms of linear operators preserving group inverses of matrices in Mn(R) are deterimined. |
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| Keywords: | principal ideal domain linear operator group inversesor matrices |
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