Detail publikace

Topogenous orders and closure operators on posets

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/"
}