17 citations · 40 across the 19 of their papers we have counts for
21 papers
Transposed Poisson algebras, Novikov-Poisson algebras and 3-Lie algebras
C. Bai, R. Bai, L. Guo +1
We introduce a dual notion of the Poisson algebra by exchanging the roles of the two binary operations in the Leibniz rule defining the Poisson algebra. We show that the transposed…
Hom 3-Lie-Rinehart Algebras
Ruipu Bai, Xiaojuan Lie, Yingli Wu
After endowing with a 3-Lie-Rinehart structure on Hom 3-Lie algebras, we obtain a class of special Hom 3-Lie algebras, which have close relationships with representations of commut…
Semi-Associative -Algebras
Ruipu Bai, Yan Zhang
A new 3-ary non-associative algebra, which is called a semi-associative -algebra, is introduced, and the double modules and double extensions by cocycles are provided. Every sem…
Manin triples of 3-Lie algebras induced by involutive derivations
Shuai Hou, Ruipu Bai
For any -dimensional 3-Lie algebra over a field of characteristic zero with an involutive derivation , we investigate the structure of the 3-Lie algebra $B_1=A\ltimes_{ad…
3-Lie bialgebras and 3-pre-Lie algebras induced by involutive derivations
Ruipu Bai, Shuai Hou, Chuangchuang Kang
In this paper, we study the structure of 3-Lie algebras with involutive derivations. We prove that if is an -dimensional 3-Lie algebra with an involutive derivation , the…
3-Lie-Rinehart Algebras
Ruipu Bai, Xiaojuan Li, Yingli Wu
In this paper, we define a class of 3-algebras which are called 3-Lie-Rinehart algebras. A 3-Lie-Rinehart algebra is a triple , where is a commutative associative al…