Deformations of compatible Hom-mock-Lie algebras

Deformations of compatible Hom-mock-Lie algebras

In this paper, we study Hom-mock-Lie algebras as a twisted version of mock-Lie algebras. Also we consider a pair of Hom-mock-Lie algebras structures satisfying that any linear combination of the two Hom-mock-Lie structures is still a Hom-mock-Lie structure called compatible Hom-mock-Lie algebras and...

Ausführliche Beschreibung

Gespeichert in:
Bibliographische Detailangaben
Datum:2025
Hauptverfasser: Benali, Karima, Chtioui, Taoufik, Hajjaji, Atef, Mabrouk, Sami
Format: Artikel
Sprache:English
Veröffentlicht: Lugansk National Taras Shevchenko University 2025
Schlagworte:
Hom-mock-Lie algebra
compatible Hom-anti-associative algebra
compatible Hom-mock-Lie algebra
representation
deformation
cohomology
17B10
17A30
17B56,13D03
13D10
Online Zugang:https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2074
Tags: Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
Назва журналу:Algebra and Discrete Mathematics

Institution

Algebra and Discrete Mathematics
Beschreibung
Zusammenfassung:In this paper, we study Hom-mock-Lie algebras as a twisted version of mock-Lie algebras. Also we consider a pair of Hom-mock-Lie algebras structures satisfying that any linear combination of the two Hom-mock-Lie structures is still a Hom-mock-Lie structure called compatible Hom-mock-Lie algebras and exhibit some related results. Next, we introduce the notion of representation of a compatible Hom-mock-Lie algebra. Finally, we study linear deformations of a compatible Hom-mock-Lie algebra.

Ähnliche Einträge