On lax epimorphisms of partially ordered monoids-Reference-Cited by-同舟云学术

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On lax epimorphisms of partially ordered monoids

Published:2023-07-05 Issue:05 Volume:33 Page:953-967
ISSN:0218-1967
Container-title:International Journal of Algebra and Computation
language:en
Short-container-title:Int. J. Algebra Comput.

Author:

Sohail N.¹,Shah A. H.²,Ahangar S. A.²

Affiliation:

1. Institute of Mathematics and Statistics, The University Tartu, Tartu, Estonia

2. Department of Mathematics, Central University of Kashmir, Ganderbal, India

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.

Funder

Estonian Science Foundation's

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0218196723500418

Reference9 articles.

1. Kan injectivity in order-enriched categories

2. Lazard's Theorem forS -posets

3. Fundamentals of Semigroup Theory

4. On Mono- and Epimorphisms in Varieties of Ordered Algebras

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