The UP-Isomorphism Theorems for UP-algebras
Aiyared Iampan

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.
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Taxonomy
TopicsFuzzy and Soft Set Theory · Control and Dynamics of Mobile Robots · Advanced Algebra and Logic
