| On the Structure of Pseudo Complement Transformations in Molecular Lattices |
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| Key Words:
molecular lattice prime molecular lattice quasi prime molecular lattice.
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| Abstract: |
| 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. |
| Citation: |
| DOI:10.3770/j.issn:1000-341X.1997.04.024 |
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