The UP-Isomorphism Theorems for UP-algebras

TL;DR

This paper develops the fundamental theorem of UP-homomorphisms and applies it to establish the UP-isomorphism theorems, advancing the algebraic theory of UP-algebras.

Contribution

It introduces the fundamental theorem of UP-homomorphisms and derives multiple UP-isomorphism theorems, expanding the theoretical framework of UP-algebras.

Findings

Established the fundamental theorem of UP-homomorphisms.

Proved the first to fourth UP-isomorphism theorems.

Provided applications of the theorems in UP-algebras.

Abstract

In this paper, we construct the fundamental theorem of UP-homomorphisms in UP-algebras. We also give an application of the theorem to the first, second, third and fourth UP-isomorphism theorems in UP-algebras.