[1]张廷海,甘爱萍.Min-Algebra上矩阵的μ值[J].江西师范大学学报(自然科学版),2013,(03):225-228.
　ZHANG Ting-hai,GAN Ai-ping.The Value of μ of Matrices over the Min-Algebra[J].Journal of Jiangxi Normal University:Natural Science Edition,2013,(03):225-228.
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Min-Algebra上矩阵的μ值()
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《江西师范大学学报》（自然科学版）[ISSN:1006-6977/CN:61-1281/TN]

卷:
期数:
2013年03期
页码:
225-228
栏目:
出版日期:
2013-05-01

文章信息/Info

Title:
The Value of μ of Matrices over the Min-Algebra
作者:
张廷海;甘爱萍
江西师范大学数学与信息科学学院,江西南昌,330022
Author(s):
ZHANG Ting-hai；GAN Ai-ping
关键词:
min-algebra; 秩; 列秩; 极大列秩; 线性相关; 线性无关
Keywords:
min-algebra; rank; column rank; maximal column rank; linearly dependent; linearly independent
分类号:
O151.21
文献标志码:
A
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.
Abstract:
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.

参考文献/References:

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备注/Memo

备注/Memo:
国家自然科学基金(11261021)
更新日期/Last Update: 1900-01-01