| 保持两类特殊半环上矩阵{1}-逆的线性算子 |
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| 引用本文： | 任苗苗,邵勇,赵宪钟.保持两类特殊半环上矩阵{1}-逆的线性算子[J].西北大学学报,2012(1):7-11. |
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| 作者姓名： | 任苗苗 邵勇 赵宪钟 |
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| 作者单位： | 西北大学数学系 |
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| 基金项目： | 陕西省自然科学专项基金资助项目(2011JQ1017);西北大学科学研究基金资助项目(NC0925) |
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| 摘 要： | 目的研究了保持两类特殊半环上矩阵{1}-逆的可逆线性算子。方法采用线性扩张的方法。结果完全地刻画了保持可换无零因子反环和广义布尔代数上矩阵{1}-逆的可逆线性算子。结论所得结果对研究保持半环上矩阵{1}-逆的线性算子有重要作用。
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| 关 键 词： | 半环 线性算子 {1}-逆 |
Linear operators preserving {1}-inverses of matrices over two special classes of semirings |
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| REN Miao-miao,SHAO Yong,ZHAO Xian-zhong.Linear operators preserving {1}-inverses of matrices over two special classes of semirings[J].Journal of Northwest University(Natural Science Edition),2012(1):7-11. |
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| Authors: | REN Miao-miao SHAO Yong ZHAO Xian-zhong |
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| Institution: | (Department of Mathematics,Northwest University,Xi′an 710127,China) |
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| Abstract: | Aim To study invertible linear operators which preserve {1}-inverses of matrices over two special classes of semirings.Methods The method of linear extension is used.Results It is completely characterized that invertible linear operators which preserve {1}-inverses of matrices over commutative entire antirings and general Booean algebras.Conclusion The obtained results are very helpful to study linear operators which preserve {1}-inverses of matrices over semirings. |
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| Keywords: | semiring linear operator {1}-inverse |
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