3 papers
math.RA2026
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…
math.RA2026
Nilpotency and Frattini theory for transposed Poisson algebras
Jiarou Jin, Yanyong Hong
We develop the theory of nilpotency and the Frattini theory for transposed Poisson algebras. The lower central series is shown to admit a simplified form, and an analogue of Engel'…
math.RA2026
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…