4 papers
On -pre-Lie algebras
Chengyang Lu, Yanyong Hong
In this paper, we introduce the notion of -pre-Lie algebras from the perspective of representations of Lie algebras, providing a parametrized generalization that unifies pre-Lie…
Solvability and nilpotency of transposed Novikov-Poisson algebras
Jiarou Jin, Yanyong Hong
In this paper, we develop the theory of nilpotency and solvability for transposed Novikov-Poisson algebras. We first establish several equivalent conditions for a dialgebra to be n…
Transposed Novikov-Poisson algebras
Jiarou Jin, Yanyong Hong
In this paper, we introduce the definition of transposed Novikov-Poisson algebras, whose affinization are transposed Poisson algebras. Moreover, we show that there is a natural tra…
Jacobi algebras and Jacobi Novikov-Poisson algebras
Chengyang Lu, Yanyong Hong
In this paper, we introduce the notion of Jacobi Novikov-Poisson algebras and demonstrate that their affinization yields Jacobi algebras. We note that every unital differential Nov…