On the property of subalgebras of Evolution algebras

2014/05/28 by L.M. Camacho, Abror Khudoyberdiyev, Camacho, L. M. +3 · 1 citation
Computer Science · Mathematics · #17D92 #17D99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Matrix Theory and Algorithms #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.1405.7126

openalex publication_date 2014/05/28 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

In this paper we study subalgebras of complex finite dimensional evolution algebras. We obtain the classification of nilpotent evolution algebras whose any subalgebra is an evolution subalgebra with a basis which can be extended to a natural basis of algebra. Moreover, we formulate three conjectures related to description of such non-nilpotent algebras.

Citations

• On dibaric and evolution algebras

Cited by

• A note on complete evolution algebras

Related

• Few remarks on evolution algebras
• A class of nilpotent evolution algebras
• On evolution algebras
• Regular evolution algebras are closed under subalgebras
• On the subalgebra lattice of solvable evolution algebras