Detail publikace

Topogenous orders and closure operators on posets

ŠLAPAL, J. RICHMOND, T. IRAGI, M.

Anglický název

Topogenous orders and closure operators on posets

Typ

Článek WoS

Jazyk

en

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 anglicky

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

Vydáno

2024-05-10

Nakladatel

TÜBITAK

Místo

Ankara

ISSN

1303-6149

Ročník

48

Číslo

3

Strany od–do

469–476

Počet stran

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/"
}