| 半环上保持矩阵{1}-逆的线性算子 |
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| 引用本文： | 李栋梁,任苗苗,刘建华,李斌.半环上保持矩阵{1}-逆的线性算子[J].纯粹数学与应用数学,2013(2):185-189,207. |
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| 作者姓名： | 李栋梁 任苗苗 刘建华 李斌 |
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| 作者单位： | [1]西北大学数学系,陕西西安710127 [2]陕西广播电视大学工程管理教学部,陕西西安710068 |
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| 基金项目： | 陕西省自然科学专项基金（2011JQ1017）. |
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| 摘 要： | 刻画了某类特殊可换无零因子反环上保持矩阵{1}一逆的可逆线性算子，并将此结果推广到此类无零因子反环的任意直积上．推广了某些文献的一些结果．
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| 关 键 词： | 可换无零因子反环 {1}一逆 线性算子 |
Linear operators preserving {1}-inverses of matrices semirings |
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| Li Dongliang,Ren Miaomiao,Liu Jianhua,Li Bin.Linear operators preserving {1}-inverses of matrices semirings[J].Pure and Applied Mathematics,2013(2):185-189,207. |
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| Authors: | Li Dongliang Ren Miaomiao Liu Jianhua Li Bin |
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| Institution: | 2 (1. Department of Mathematics, Northwest University, Xi＇an 710127, China; 2. Department of Project Management, Shaanxi Radio and TV University, Xi＇an 710068, China) |
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| Abstract: | In this paper we characterize invertible linear operarors that preserve{1}-inverses of matrices over special entire antirings. Based on obtained results, we give forms of invertible linear operarors that preserve {1}-inverses of matrices over direct product of special entire antirings. Thus some results obtained in some essays are generalized. |
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| Keywords: | commutative entire antiring {1}-inverse linear operator |
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