On the expansion map of lattices
| dc.contributor.author | Panjarike, Pallavi | |
| dc.contributor.author | Kuncham, Syam Prasad | |
| dc.contributor.author | Nayak, Aishwarya Neralakatte | |
| dc.contributor.author | E.T.A.L.. | |
| dc.date.accessioned | 2025-07-07T11:24:34Z | |
| dc.date.available | 2025-07-07T11:24:34Z | |
| dc.date.issued | 2025-01-29 | |
| dc.description | In the field of universal algebra, one can use (algebraic) closure operators to construct subalgebras. Also, closure operators establish a link between the lattice of subalgebras of a given algebra and a complete lattice. | |
| dc.description.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. Keywords: Closure Operators, Covering Relation, Expansion Map | |
| dc.identifier.citation | Panjarike, P., Kuncham, S. P., Nayak, A. N., Al-Tahan, M., Sahoo, T., & Panackal, H. (2025). On the expansion map of lattices. Afrika Matematika, 36(1), 1-12. | |
| dc.identifier.doi | https://doi.org/10.1007/s13370-025-01267-z | |
| dc.identifier.uri | https://repository.adu.ac.ae/handle/1/7184 | |
| dc.language.iso | en | |
| dc.publisher | Springer Link | |
| dc.title | On the expansion map of lattices | |
| dc.type | Article |