On Homomorphisms of $AB$-algebras

Restituto D. Bejarasco; Narciso C. Gonzaga, Jr.

doi:10.35834/2019/3102121

Abstract

In this study, the notion of $AB$-homomorphism of an $AB$-algebra is introduced and some of its properties are obtained. Moreover, the first and third isomorphism theorems for $AB$-algebras are investigated.

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Restituto D. Bejarasco. Narciso C. Gonzaga, Jr.. "On Homomorphisms of $AB$-algebras." Missouri J. Math. Sci. 31 (2) 121 - 129, November 2019. https://doi.org/10.35834/2019/3102121

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Published: November 2019

First available in Project Euclid: 16 November 2019

zbMATH: 07276119

MathSciNet: MR4032189

Digital Object Identifier: 10.35834/2019/3102121

Subjects:

Primary: 06F35

Secondary: 03G25

Keywords: $AB$-algebra , $AB$-homomorphism , $AB$-ideal , $AB$-subalgebra , isomorphism theorems

Abstract

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