Turkish Journal of Mathematics
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.
DOI
10.55730/1300-0098.3519
Keywords
cartesian closed category, closure operator, meet-complete semilattice, Poset, topogenous order
First Page
469
Last Page
476
Recommended Citation
SLAPAL, J, RICHMOND, T, & IRAGI, M (2024). Topogenous orders and closure operators on posets. Turkish Journal of Mathematics 48 (3): 469-476. https://doi.org/10.55730/1300-0098.3519
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