分子格上伪补的构造

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．

On the Structure of Pseudo Complement Transformations in Molecular Lattices

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.