2017/12/21 by Mahouton Norbert Hounkonnou, Hounkonnou, Mahouton Norbert, Mafoya Landry Dassoundo +1
Mathematics · #16-XX #16D20 #16T10 #16Yxx #17A30 #17Axx #17D25 #17D99 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.1712.07751
openalex publication_date 2017/12/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this work, we provide a q-generalization of flexible algebras and related bialgebraic structures, including center-symmetric (also called antiflexible) algebras, and their bialgebras. Their basic properties are derived and discussed. Their connection with known algebraic structures, previously developed in the literature, is established. A q-generalization of Myung theorem is given. Main properties related to bimodules, matched pairs and dual bimodules as well as their algebraic consequences are investigated and analyzed. Finally, the equivalence between q-generalized flexible algebras, their Manin triple and bialgebras is established.