Structures of BiHom-Poisson algebras

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.

arXiv admin note: text overlap with arXiv:1010.3408 by other authors

References in corpus (3)

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

Cited by in corpus (1)

• BiHom-Akivis algebras