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Realization of Categorical Idempotent Closure Operators by Preorders

ŠLAPAL, J. Realization of Categorical Idempotent Closure Operators by Preorders. Quaestiones Mathematicae, 2022, vol. 45, no. 4, p. 513-522. ISSN: 1607-3606.
Type
journal article
Language
English
Authors
Šlapal Josef, prof. RNDr., CSc., IM (FME)
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.

URL
Published
2022
Pages
513–522
Journal
Quaestiones Mathematicae, vol. 45, no. 4, ISSN 1607-3606
Publisher
Taylor & Francis
Place
Cape Town
DOI
10.2989/16073606.2021.1884141
UT WoS
000619038900001
EID Scopus
2-s2.0-85100981533
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"
}
Departments
Institute of Mathematics (IM)
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