Paradistributive Latticoids
Ravikumar Bandaru, Suryavardhani Ajjarapu · European Journal of Pure and Applied Mathematics · 2024
In this paper, the concept of Paradistributive Latticoid (PDL) as a generalization of a distributive lattice is introduced and investigated its properties. A set of equivalent conditions for a PDL to become a distributive lattice are given. The notions of an ideal and a filter in a PDL are introduced and studied their properties. Subdirect representation of a PDL is obtained.