Deformations of compatible Hom-mock-Lie algebras

• Date: 2025
• Main Authors: Benali, Karima, Chtioui, Taoufik, Hajjaji, Atef, Mabrouk, Sami
• Format: Article
• Language: English
• Published: Lugansk National Taras Shevchenko University 2025
• Subjects: Hom-mock-Lie algebra; compatible Hom-anti-associative algebra; compatible Hom-mock-Lie algebra; representation; deformation; cohomology; 17B10; 17A30; 17B56,13D03; 13D10
• Online Access: https://admjournal.luguniv.edu.ua/index.php/adm/article/view/2074
• Journal Title: Algebra and Discrete Mathematics

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...