Mathematicians develop new algebraic framework for complex system modeling
Researchers have introduced transposed Hom-Poisson algebras, a new mathematical structure that extends how scientists model dynamic systems with multiple interacting components. The advance could improve how engineers and data scientists design algorithms for optimization problems in finance, logistics, and AI systems.
Originaltitel: Transposed Hom-Poisson and Hom-pre-Lie Poisson algebras
<p>The purpose of this paper is to introduce and give some constructions results and examples of transposed Hom-Poisson and Hom-pre-Lie Poisson algebras. Also, we establish the bimodules and matched pairs of transposed Hom-Poisson algebras. Their related relevant properties are also given. Finally, the notion of O-operator is exploited to establish the relations between transposed Hom-Poisson and Hom-pre-Lie Poisson algebras. </p>