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.

References

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Published

2025-09-18

Issue

Contemporary Mathematics, Volume 6 Issue 5 (2025), 5368-7533

Section

Research Article

License

Copyright (c) 2025 Abu Zaid Ansari, et al.

Creative Commons License

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

How to Cite

1.
A Structural Exploration of Demi-Complementation on ADLs. Contemp. Math. [Internet]. 2025 Sep. 18 [cited 2025 Dec. 24];6(5):6541-52. Available from: https://ojs353.mebyme.cn/index.php/CM/article/view/8069