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Min-Algebra上矩阵的μ值 被引量：2

The Value of μ of Matrices over the Min-Algebra
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摘要 利用矩阵理论研究了一类特殊的半环-(Rmin,,,∞)上的矩阵的秩、列秩和极大列秩之间的关系,得到了对于min-algebra上任意m×n矩阵,使这3类秩相等的最大整数,即矩阵的μ值的所有情形,扩展了已有的相关结论. The relationships between the rank,column rank and maximal column rank of matrices over a special semiring-（Rmin,＋,×,∞）are investigated by the theory of matrices.The largest integers of the three types of ranks equaling for all m by n matrices over the min-algebra are obtained.So the related results are extended.
作者 张廷海 甘爱萍
机构地区 江西师范大学数学与信息科学学院
出处 《江西师范大学学报（自然科学版）》 CAS 北大核心 2013年第3期225-228,共4页 Journal of Jiangxi Normal University(Natural Science Edition)
基金 国家自然科学基金(11261021)资助项目
关键词 min-algebra 秩 列秩 极大列秩 线性相关 线性无关 min-algebra rank column rank maximal column rank linearly dependent linearly independent
分类号 O151.21 [理学—基础数学]
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参考文献11

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  • 10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(自然科学版),2012,42(1):7-11. 被引量：4

二级参考文献17

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同被引文献20

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引证文献2

江西师范大学学报（自然科学版）
2013年 第3期

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