2023•International Journal of Analysis and ApplicationsOpen access

Tri-Endomorphisms on BCH-Algebras

Patchara Muangkarn, Cholatis Suanoom, Jirayu Phuto, Aiyared Iampan

Abstract

In this paper, we use the concept of endomorphisms and bi-endomorphisms as a model to create tri-endomorphisms on of BCH-algebras. We introduce the concepts of left tri-endomorphisms, central tri-endomorphisms, right tri-endomorphisms, and complete tri-endomorphisms of BCH-algebras and provide some properties. In addition, we obtain the properties between those tri-endomorphisms and some subsets of BCH-algebras.

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Key concepts: Endomorphism, BCH code, Mathematics, Pure mathematics, Algebra over a field, Discrete mathematics, Algorithm, Decoding methods