Detail publikace

Realization of Categorical Idempotent Closure Operators by Preorders

ŠLAPAL, J.

Originální název

Realization of Categorical Idempotent Closure Operators by Preorders

Typ

článek v časopise ve Web of Science, Jimp

Jazyk

angličtina

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

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

Autoři

ŠLAPAL, J.

Vydáno

3. 4. 2022

Nakladatel

Taylor & Francis

Místo

Cape Town

ISSN

1607-3606

Periodikum

Quaestiones Mathematicae

Ročník

45

Číslo

4

Stát

Jihoafrická republika

Strany od

513

Strany do

522

Strany počet

10

URL

https://www.tandfonline.com/doi/abs/10.2989/16073606.2021.1884141

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"
}