A Structural Exploration of Demi-Complementation on ADLs

Authors

Noorbhasha Rafi Department of Mathematics, Bapatla Engineering College, Bapatla, Andhra Pradesh, 522101, India
Abu Zaid Ansari Department of Mathematics, Faculty of Science, Islamic University of Madinah, Madinah, Saudi Arabia
M. Sambasiva Rao Department of Mathematics, M.R. College (Autonomous), Vizianagaram, 535005, India
Y. Monikarchana Department of Mathematics, Mohan Babu University, A.Rangampet, Tirupati, 517102, India
Faiza Shujat Department of Mathematics, Faculty of Science, Taibah University, Madinah, Saudi Arabia

DOI:

https://doi.org/10.37256/cm.6520258069

Keywords:

Almost Distributive Lattice (ADL), demi-complementation, pseudo-complementation, stone ADL, MS-ADL

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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Published

2025-09-18

Issue

Contemporary Mathematics, Volume 6 Issue 5 (2025)

Section

Research Article

License

This work is licensed under a Creative Commons Attribution 4.0 International License.