Publication detail

Realization of Categorical Idempotent Closure Operators by Preorders

ŠLAPAL, J.

Czech title

English title

Realization of Categorical Idempotent Closure Operators by Preorders

Type

journal article in Web of Science

Language

en

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 in English

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

Released

03.04.2022

Publisher

Taylor & Francis

Location

Cape Town

ISSN

1607-3606

Volume

45

Number

4

Pages from–to

513–522

Pages count

10

BIBTEX


@article{BUT171722,
  author="Josef {Šlapal},
  title="Realization of Categorical Idempotent Closure Operators by Preorders",
  year="2022",
  volume="45",
  number="4",
  month="April",
  pages="513--522",
  publisher="Taylor & Francis",
  address="Cape Town",
  issn="1607-3606"
}