September 19, 2025Open Access

A Structural Exploration of Demi-Complementation on ADLs

Key Points

Demi-complemented ADLs exhibit unique structural properties, enhancing our understanding of their forms and applications.
Each demi-complemented ADL can produce conditions for forming pseudo-complemented ADLs and MS-ADLs.
The study offers set equivalent conditions for transforming demi-complemented ADLs into pseudo-complemented lattices.
Understanding these relationships may lead to better applications in mathematical structures and theoretical frameworks.

Abstract

On an Almost Distributive Lattice (ADL), the concept of demi-complementation is introduced. From demi-complemented ADLs, we derived some important and interesting properties. Every demi-complemented ADL is given set equivalent conditions that yields a pseudo-complemented ADL, an MS-ADL, and a pseudo-complemented lattice.

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Cite This Study

Rafi et al. (Thu,) studied this question.

synapsesocial.com/papers/68d466a831b076d99fa64fb9 https://doi.org/https://doi.org/10.37256/cm.6520258069

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