Publication result detail

Realization of Categorical Idempotent Closure Operators by Preorders

ŠLAPAL, J.

Original Title

Realization of Categorical Idempotent Closure Operators by Preorders

English Title

Realization of Categorical Idempotent Closure Operators by Preorders

Type

WoS Article

Original Abstract

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.

English abstract

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.

Keywords

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

Key words in English

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

Authors

ŠLAPAL, J.

RIV year

2021

Released

03.04.2022

Publisher

Taylor & Francis

Location

Cape Town

ISBN

1607-3606

Periodical

Quaestiones Mathematicae

Volume

45

Number

4

State

Republic of South Africa

Pages from

513

Pages to

522

Pages count

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"
}