4 papers
Classification and (Quasi)-Centroids of Four-Dimensional Ternary Leibniz Algebras
Ahmed Zahari Abdou Damdji
We provide a classification, up to isomorphism, of four-dimensional ternary Leibniz algebras over an algebraically closed field of characteristic zero. For each non-abelian algebra…
Splitting of operations for Hom-diassociative and Hom-triassociative Algebras
Abdelkader Hamdouni, Imed Basdouri, Mariem Jendoubi +1
Hom-quadri dendriform algebras and Hom-six-dendriform agebras are introduced and studied which is a splitting of a Hom-diassociative and Hom-triassociative algebras, respectively.…
Related Hom-rhizaform algebras and Rota-Baxter Operators, Hom-Rhizaform Family Algebras
Imed Basdouri, Mariem Jendoubi, Ahmed Zahari Abdou Damdji
This paper explores the link between Hom-rhizaform algebras and Rota-Baxter operators. We define a new structure, the Hom-rhizaform family algebra, which is a more general version…
Compatible Pairs of Low-Dimensional Associative Algebras and Their Invariants
Ahmed Zahari Abdou Damdji, Bouzid Mosbahi
A compatible associative algebra is a vector space endowed with two associative multiplication operations that satisfy a natural compatibility condition. In this paper, we investig…