1. C. NAG - Department of Mathematics, Shahjalal University of Science and Technology, Sylhet, Bangladesh.
2. SYED MD OMAR FARUK - Department of Mathematics, Shahjalal University of Science and Technology, Sylhet, Bangladesh.
This paper investigates coaxer ideals within 1-distributive lattices and introduces the concept of 1-coaxer lattices. The study explores characterizations of coaxer ideals and establishes foundational properties of 1-coaxer lattices. Through an analysis of pseudocomplemented 1-distributive lattices, it provides a structured understanding of coaxer ideals, minimal and maximal ideals, and their interrelations.
Lattices, 1-Distributive Lattice, Pseudocomplemented Lattice, Ideal, Filter.