Detail publikačního výsledku

Topogenous orders and closure operators on posets

ŠLAPAL, J.; RICHMOND, T.; IRAGI, M.

Originální název

Topogenous orders and closure operators on posets

Anglický název

Topogenous orders and closure operators on posets

Druh

Článek WoS

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.

Anglický 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

Klíčová slova v angličtině

Poset, meet-complete semilattice, topogenous order, closure operator, cartesian closed category

Autoři

ŠLAPAL, J.; RICHMOND, T.; IRAGI, M.

Rok RIV

2025

Vydáno

10.05.2024

Nakladatel

TÜBITAK

Místo

Ankara

ISSN

1303-6149

Periodikum

Turkish Journal of Mathematics

Svazek

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/

Plný text v Digitální knihovně

http://hdl.handle.net/11012/249517

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/"
}

Dokumenty

Topogenous orders and closure operators on posets