Publication detail

Topogenous orders and closure operators on posets

ŠLAPAL, J. RICHMOND, T. IRAGI, M.

English title

Topogenous orders and closure operators on posets

Type

WoS Article

Language

en

Original 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.

Keywords in English

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

Released

2024-05-10

Publisher

TÜBITAK

Location

Ankara

ISSN

1303-6149

Volume

48

Number

3

Pages from–to

469–476

Pages count

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/"
}