Hemicomplemented  Almost Distributive Lattices

Authors

  • Noorbhasha Rafi Department of Mathematics, Bapatla Engineering College, Bapatla, Andhra Pradesh, India-522 102
  • Prashant Patel Department of Mathematics, School of Advanced Sciences, VIT-AP University, Amaravati-522237, Andhra Pradesh, India
  • Ravi Kumar Davala Department of Mathematics, School of Advanced Sciences, VIT-AP University, Amaravati-522237, Andhra Pradesh, India
  • Rahul Shukla Department of Mathematical Sciences and Computing, Walter Sisulu University, Mthatha 5117, South Africa

DOI:

https://doi.org/10.29020/nybg.ejpam.v18i4.6249

Keywords:

hemicomplemented ADL, condensed element , Almost Distributive Lattice

Abstract

This paper introduces the concept of condensed elements in an Almost Distributive Lattice(ADL) and explores their fundamental properties. It also presents the concept of hemicomplemented ADL and characterize of these ADLs using ideals,  congruences, and minimal prime $\LomD$-filters. Furthermore, a collection of equivalent criteria is established to determine when a hemicomplemented ADL qualifies as a quasicomplemented ADL.

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Published

2025-11-05

Issue

Vol. 18 No. 4: (October 2025)

Section

Algebra

License

Copyright (c) 2025 Noorbhasha Rafi, Prashant Patel, Ravi Kumar Davala, Rahul Shukla

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How to Cite

Hemicomplemented  Almost Distributive Lattices. (2025). European Journal of Pure and Applied Mathematics, 18(4), 6249. https://doi.org/10.29020/nybg.ejpam.v18i4.6249