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"
}