On epimorphisms of ordered algebras

TL;DR

This paper demonstrates that in specific categories of ordered F-algebras, epimorphisms are surjective, and this property extends to all unordered algebras of the same type, highlighting a key algebraic property.

Contribution

The paper establishes surjectivity of epimorphisms in categories of ordered F-algebras and extends this result to all unordered algebras of the same type.

Findings

Epimorphisms are surjective in certain ordered F-algebra categories.

Surjectivity of epimorphisms extends to all unordered algebras of type F.

Provides conditions under which epimorphisms are surjective.

Abstract

We prove that epimorphisms are surjective in certain categories of ordered F-algebras. It then turns out that epimorphisms are also surjective in the category of all (unordered) algebras of type F.