On the generalized Poisson and transposed Poisson algebras
Rings and Algebras
2025-01-31 v1
Abstract
We provide the polynomial identities of algebras that are both generalized Poisson algebras and transposed Poisson algebras. We establish defining identities via single operation for generalized Poisson algebras and prove that Ito's theorem holds for generalized Poisson algebras.
Keywords
Cite
@article{arxiv.2501.18410,
title = {On the generalized Poisson and transposed Poisson algebras},
author = {Askar Dzhumadil'daev and Nurlan Ismailov and Farukh Mashurov},
journal= {arXiv preprint arXiv:2501.18410},
year = {2025}
}