17 citations · 40 across the 19 of their papers we have counts for
6 papers · 1 filter
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…
3-Lie algebra -modules and induced modules
Ruipu Bai, Yue Ma, Pei Liu
In this paper, we define the induced modules of Lie algebra ad associated with a 3-Lie algebra -module, and study the relation between 3-Lie algebra -modules and ind…
The infinite dimensional Unital 3-Lie Poisson algebra
Chuangchuang Kang, Ruipu Bai, Yingli Wu
From a commutative associative algebra , the infinite dimensional unital 3-Lie Poisson algebra~~is constructed, which is also a canonical Nambu 3-Lie algebra, and…