Review

Realization of categorical idempotent closure operators by preorders

Published in: Quaestiones Mathematicae
Volume 45 , issue 4 , 2022 , pages: 513–522

DOI: 10.2989/16073606.2021.1884141

Author(s): Josef Šlapal , Czech Republic

Keywords: 54A05 , 54B30 , 54A05 , 54B30

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.

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