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线性代数中子空间格的性质探究

On the properties of subspace lattice in linear algebra

Theoretical Mathematics Study / 2020,2(1): 8-13 / 2020-05-14 2223 3654

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• Authors: 孙妙玉
• Information:

  湖北师范大学，黄石

• 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．