On certain three algebras generated by binary algebras

2021/02/19 by H. Ahmed, Mamoon Ahmed, Ahmed, H. +5
Computer Science · Engineering · #Advanced Algebra and Logic #Algebraic Geometry (math.AG) #FOS: Mathematics #Polynomial and algebraic computation #Rings and Algebras (math.RA) #graph theory and CDMA systems

paper · pdf · doi:10.48550/arxiv.2102.10026

openalex publication_date 2021/02/19 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper's central theme is to prove the existence of an n-algebra whose multiplication cannot be expressed employing any binary operation. Furthermore, to prove if two algebras are not isomorphic, this property does not hold for 3-algebras corresponding to these two algebras. The proof drives applying some results gotten early applying a new approach for the classification algebras problem, introduced recently, which showed great success in solving many classification algebras problems.

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