4 papers
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'…
Infinite-dimensional pre-Lie bialgebras via affinization of pre-Novikov bialgebras
Yue Li, Yanyong Hong
In this paper, we show that there is a pre-Lie algebra structure on the tensor product of a pre-Novikov algebra and a right Novikov dialgebra and the tensor product of a pre-Noviko…
On quadratic Novikov algebras
Xiaofeng Dong, Yanyong Hong
A quadratic Novikov algebra is a Novikov algebra with a symmetric and nondegenerate bilinear form satisfying …
Quasi-Frobenius Novikov algebras and pre-Novikov bialgebras
Yue Li, Yanyong Hong
Pre-Novikov algebras and quasi-Frobenius Novikov algebras naturally appear in the theory of Novikov bialgebras. In this paper, we show that there is a natural pre-Novikov algebra s…