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
  
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.
基金项目:
作者单位
于纯海 东北民族学院 
谢延波 东北民族学院 
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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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