Q-ideals of Almost Distributive Lattices

Authors

DOI:

https://doi.org/10.29020/nybg.ejpam.v19i1.7409

Keywords:

Prime E-ideal, R-ideal, λ-ideal, ν-ideal, Q-ideal, E-complemented ADL.

Abstract

In Almost Distributive Lattices (ADLs), the idea of Q-ideals is defined, and various properties of these ideals are investigated. characterizations are established that determine precisely when a λ-ideal in an ADL qualifies as a Q-ideal. Furthermore, equivalent conditions are established for when an E-ideal in an ADL can be recognized as a Q-ideal. The characterization of E-complemented ADLs is achieved through the use of Q-ideals

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Published

2026-02-16

Issue

Section

Algebra

How to Cite

Q-ideals of Almost Distributive Lattices. (2026). European Journal of Pure and Applied Mathematics, 19(1), 7409. https://doi.org/10.29020/nybg.ejpam.v19i1.7409