On the properties of subspace lattice in linear algebra

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线性代数中子空间格的性质探究

Theoretical Mathematics Study / 2020,2(1): 8-13 / 2020-05-14 look

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Authors: 孙妙玉
Information:
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湖北师范大学，黄石
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Keywords: partially ordered set; subspace; intersection; sum 偏序集；子空间；交；和
Abstract: Based on the concept of linear subspace in advanced algebra, we give the definition of the subspace lattice, explore some properties of it, and obtain several interesting conclusions. 在高等代数线性子空间概念的基础上，给出子空间格的定义，并探究了子空间格的一些性质，得出几个有趣的结论。
DOI: https://doi.org/10.35534/tms.0201002c
Cite: 孙妙玉．线性代数中子空间格的性质探究［J］．理论数学前沿，2020，2（1）：8-13．