| 于纯海,谢延波.分子格上伪补的构造[J].数学研究及应用,1997,17(4):589~593 |
| 分子格上伪补的构造 |
| On the Structure of Pseudo Complement Transformations in Molecular Lattices |
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| DOI：10.3770/j.issn:1000-341X.1997.04.024 |
| 中文关键词: 分子格 分子 既约分子格 准既约分子格 |
| 英文关键词:molecular lattice prime molecular lattice quasi prime molecular lattice. |
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| 中文摘要: |
| 本文给出了分子格上伪补的构造定理，并证明了当一个非平凡分子格上有伪补，其既约因子上并不一定存在伪补，但其准既约因子上一定存在伪补，且任一分子格上的伪补都可表为其准既约因子上伪补的直积． |
| 英文摘要: |
| In this paper, the structure theorem of pseudo complement in molecular lattices is introduced and proved. We then prove that a prime factor of a non trivial molecular lattice with a pseudo complement on it may have no pseudo complement. But the quasi prime factors of a non trivial molecular lattice with a pseudo complement on it do have pseudo complement, and each pseudo complement on a molecular lattice may be factorizedd as a direct product of pseudo complements on its quasi prime factors. |
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