BiHom-Poisson conformal superalgebras arising from related algebraic structures

Abstract

Inspired from some works on constructions of algebraic structures from other ones, we purpose to give some construction theorems on BiHom-Poisson conformal superalgebras which unify the notion of the Z2 -graded Poisson algebras, the BiHom-Poisson algebras and their conformal setting. So, we introduce BiHom-Poisson conformal superalgebras and show that they are closed under twisting. We then prouve that any regular BiHom-associative conformal algebra leads to BiHom-Poisson conformal algebra via the commutator bracket. Then, we point out that any BiHom-Poisson conformal superalgebra together with Rota-Baxter operator give rises to another BiHom-Poisson conformal superalgebra. Next, we show that tensor prod- uct of any BiHom-associative superalgebra and any BiHom-Poisson conformal superalgebra is also a BiHom-Poisson conformal superalgebra. Contruction from Hom-post-Poisson conformal superalgebras is also given.