2 papers
math.RA2026
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.…
math.RA2025
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…