Five-dimensional nilpotent evolution algebras

2015/08/29 by A. S. Hegazi, Hegazi, A. S., Hani Abdelwahab +1
Computer Science · Mathematics · #17D92 #17D99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #Commutative Algebra (math.AC) #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1508.07442

openalex publication_date 2015/08/29 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The paper is devoted to give a complete classification of five-dimension nilpotent evolution algebras over an algebraically closed field. We obtained a list of 27 isolated non-isomorphic nilpotent evolution algebras and 2 families of non-isomorphic algebras depending on one parameter.

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