Structures of BiHom-Poisson algebras

2020/08/10 by Sylvain Attan, Attan, Sylvain, Ismail Laraiedh +1 · 1 citation
Mathematics · #17A20 #17A30 #17B05 #17B10 #17B65 #Advanced Topics in Algebra #Algebraic structures and combinatorial models #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology #Rings and Algebras (math.RA)

paper · pdf · doi:10.48550/arxiv.2008.04763

openalex publication_date 2020/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

This paper gives some constructions results and examples of BiHom-Poisson algebras. Next, BiHom-flexible algebras are defined and it is shown that admissible BiHom-Poisson algebras are BiHom-flexible. Furthermore, generalized derivations of Bihom-Poisson algebras are introduced and some their basic properties are given. Finally, BiHom-Poisson modules and several constructions of these notions are obtained.

Citations

• Non-commutative Hom-Poisson algebras
• Representations of Bihom-Lie algebras
• On split regular BiHom-Leibniz superalgebras

Cited by

• BiHom-Akivis algebras

Related

• (Non-BiHom-Commutative) BiHom-Poisson algebras
• Bimodules and matched pairs of noncommutative BiHom-(pre)-Poisson\n algebras
• BiHom-(pre-)Poisson conformal algebra
• Transposed Hom-Poisson and Hom-pre-Lie Poisson algebras and bialgebras
• Bialgebra theory and \mathcal O-operators of admissible Hom-Poisson algebras