학술논문

On lax epimorphisms of partially ordered monoids.
Document Type
Article
Source
International Journal of Algebra & Computation. Aug2023, Vol. 33 Issue 5, p953-967. 15p.
Subject
*MONOIDS
Language
ISSN
0218-1967
Abstract
Epimorphisms in the category of partially ordered monoids may not be surjective. We prove that lax epimorphisms in the category of partially ordered monoids are surjective. We further show that lax epimorphisms in the said category coincide with coinserters. Our results also generalize to partially ordered semigroups. [ABSTRACT FROM AUTHOR]