Exploring Star Filters of Almost Distributive Lattices
In an almost distributive lattice (ADL), we have presented and explored the notions of star filters and starlets. Further, we have characterized star filters through their starlets. A set of equivalent conditions is established for a filter in an ADL to become a star filter. Additionally, this paper investigates the topological properties of the prime spectrum associated with star filters in an ADL.
Authors
- Ali Al Khabyah (ORCID: https://orcid.org/0000-0002-4167-3119)
- Moin A. Ansari (ORCID: https://orcid.org/0000-0002-1175-9704)
- Noorbhasha Rafi (ORCID: https://orcid.org/0000-0003-2070-0533)
Institutions
- King Khalid University (SA)
- Jazan University (SA)
Publication Details
- Journal
- Axioms
- Published
- 2025-01-27
- DOI
- https://doi.org/10.3390/axioms14020096
- Primary Topic
- Advanced Algebra and Logic
- Type
- article
- Field-Weighted Citation Impact
- 0.00