Topogenous orders and closure operators on posets
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Date
2024-05-10
Authors
Šlapal, Josef
Richmond, Tom
Iragi, Minani
ORCID
0000-0001-8843-6842Advisor
Referee
Mark
Journal Title
Journal ISSN
Volume Title
Publisher
TÜBITAK
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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. Extending our considerations to the categorical level, we find a cartesian closed category of topogenous systems.
Description
Citation
Turkish Journal of Mathematics. 2024, vol. 48, issue 3, p. 469-476.
https://journals.tubitak.gov.tr/math/vol48/iss3/8/
https://journals.tubitak.gov.tr/math/vol48/iss3/8/
Document type
Peer-reviewed
Document version
Published version
Date of access to the full text
Language of document
en