On the Property of Subalgebras of Evolution Algebras

On the Property of Subalgebras of Evolution Algebras

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...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Veröffentlicht in:Algebras and representation theory 2019-04, Vol.22 (2), p.281-296
Hauptverfasser: Camacho, L. M., Khudoyberdiyev, A. Kh, Omirov, B. A.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Associative Rings and Algebras
Commutative Rings and Algebras
Evolution
Mathematics
Mathematics and Statistics
Non-associative Rings and Algebras
Online-Zugang:Volltext
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Beschreibung
Zusammenfassung: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 the description of such non-nilpotent algebras.
ISSN:1386-923X
1572-9079
DOI:10.1007/s10468-018-9767-7