On the expansion map of lattices
Document Type
Article
Publication Title
Afrika Matematika
Abstract
It is well known that the closure operator on a lattice is an extensive, isotone, and idempotent map. In this paper, we extend this concept by introducing the notion of an expansion map on lattices, which serves as a generalization of closure operators. The focus is to explore the properties of the collection of all expansion maps on a lattice, which forms a lattice. We delve into the discussion of their covering relation and present a comprehensive characterization of the atoms and dual atoms within the lattice obtained from these expansion maps.
DOI
10.1007/s13370-025-01267-z
Publication Date
3-1-2025
Recommended Citation
Panjarike, Pallavi; Kuncham, Syam Prasad; Nayak, Aishwarya Neralakatte; and Al-Tahan, Madeleine, "On the expansion map of lattices" (2025). Open Access archive. 13628.
https://impressions.manipal.edu/open-access-archive/13628
