Detail publikace

Realization of Categorical Idempotent Closure Operators by Preorders

ŠLAPAL, J.

Anglický název

Realization of Categorical Idempotent Closure Operators by Preorders

Typ

Článek WoS

Jazyk

en

Originální abstrakt

In the paper, we introduce the concept of a preorder on a category and study its relation to categorical closure operators. In particular, employing a Galois connection, we show that there is a one-to-one correspondence between the idempotent closure operators and certain preorders on a category.

Klíčová slova anglicky

Subobject lattice, Galois connection, categorical closure operator, preorder on a category.

Vydáno

2022-04-03

Nakladatel

Taylor & Francis

Místo

Cape Town

ISSN

1607-3606

Časopis

Quaestiones mathematicae

Ročník

45

Číslo

4

Strany od–do

513–522

Počet stran

10

BIBTEX


@article{BUT171722,
  author="Josef {Šlapal}",
  title="Realization of Categorical Idempotent Closure Operators by Preorders",
  journal="Quaestiones mathematicae",
  year="2022",
  volume="45",
  number="4",
  pages="513--522",
  doi="10.2989/16073606.2021.1884141",
  issn="1607-3606",
  url="https://www.tandfonline.com/doi/abs/10.2989/16073606.2021.1884141"
}