2024/11/03 by Othmen Ncib, Ncib, Othmen, Sergei Silvestrov +1
Mathematics · #17A40 #17B61 #17B63 #17B75 (Secondary) #17D30 (Primary) 17A30 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Finite Group Theory Research #Rings and Algebras (math.RA)
paper · pdf · doi:10.48550/arxiv.2411.01413
openalex publication_date 2024/11/03 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The purpose of this paper is to introduce the class of noncommutative 3-BiHom-Poisson color algebras, which is a combination of 3-BiHom-Lie color algebras and BiHom-associative color algebras under a compatibility condition, called BiHom-Leibniz color identity, and then study their representations and associated Kupershmidt operators. In addition, we introduce the notion of noncommutative 3-BiHom-pre-Poisson color algebras and investigate the relationship between noncommutative 3-BiHom-Poisson color algebras and 3-BiHom-pre-Poisson color algebras via Kupershmidt operators.