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Detail publikace
ŠLAPAL, J. RICHMOND, T. IRAGI, M.
Originální název
Topogenous orders and closure operators on posets
Typ
článek v časopise ve Web of Science, Jimp
Jazyk
angličtina
Originální abstrakt
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.
Klíčová slova
Poset, meet-complete semilattice, topogenous order, closure operator, cartesian closed category
Autoři
ŠLAPAL, J.; RICHMOND, T.; IRAGI, M.
Vydáno
10. 5. 2024
Nakladatel
TÜBITAK
Místo
Ankara
ISSN
1303-6149
Periodikum
Turkish Journal of Mathematics
Ročník
48
Číslo
3
Stát
Turecká republika
Strany od
469
Strany do
476
Strany počet
8
URL
https://journals.tubitak.gov.tr/math/vol48/iss3/8/
BibTex
@article{BUT188778, author="Josef {Šlapal} and Tom {Richmond} and Minani {Iragi}", title="Topogenous orders and closure operators on posets", journal="Turkish Journal of Mathematics", year="2024", volume="48", number="3", pages="469--476", doi="10.55730/1300-0098.3519", issn="1303-6149", url="https://journals.tubitak.gov.tr/math/vol48/iss3/8/" }