Turkish Journal of Mathematics
DOI
10.55730/1300-0098.3519
Abstract
We introduce the notion of topogenous orders on a poset X to be certain endomaps on X. We build on a Galois connection between endomaps and binary relations on X and study relationships between endomap properties and corresponding relational properties. In particular, we determine the topogenous orders that are in a one-to-one correspondence with (idempotent) closure operators.
Keywords
cartesian closed category, closure operator, meet-complete semilattice, Poset, topogenous order
First Page
469
Last Page
476
Recommended Citation
SLAPAL, JOSEF; RICHMOND, TOM; and IRAGI, MINANI
(2024)
"Topogenous orders and closure operators on posets,"
Turkish Journal of Mathematics: Vol. 48:
No.
3, Article 8.
https://doi.org/10.55730/1300-0098.3519
Available at:
https://journals.tubitak.gov.tr/math/vol48/iss3/8
