Bimodules and matched pairs of noncommutative BiHom-(pre)-Poisson algebras

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Hacettepe Journal of Mathematics and Statistics
Volume:52 Issue:3
Bimodules and matched pairs of noncommutative BiHom-(pre)-Poisson algebras

Bimodules and matched pairs of noncommutative BiHom-(pre)-Poisson algebras

Pages : 673-697

View : 172 | Download : 242

Publication Date : 2023-05-30

Article Type : Research Paper

Abstract :The purpose of this paper is to introduce the notion of noncommutative BiHom-pre-Poisson algebra. Also, we establish the bimodules and matched pairs of noncommutative BiHom-insert ignore into journalissuearticles values(pre);-Poisson algebras. Their related relevant properties are also given. Finally, we exploit the notion of $\\mathcal{O}$-operator to illustrate the relations existing between noncommutative BiHom-Poisson and noncommutative BiHom pre-Poisson algebras.
Keywords : noncommutative BiHom pre, Poisson algebras, bimodules, matched pairs, \\mathcal O operator

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