On the Structure of Pseudo Complement Transformations in Molecular Lattices

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.