Demi-complementation on distributive lattices

Mukkamala Sambasiva Rao · Asian-European Journal of Mathematics · 2023

The notion of demi-complementation is introduced on distributive lattices. Certain important properties of demi-complemented distributive lattices are investigated. Some equivalent conditions are given for every demi-complemented lattice to become a pseudo-complemented lattice. The notion of demi-implication algebras is introduced and their properties are investigated. Some applications of demi-complementation to implication like algebras are studied.

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