4 papers
Deformations of Nijenhuis Lie algebras and Nijenhuis Lie algebroids
Chao Song, Kai Wang, Yuanyuan Zhang +1
This paper is the second in a series dedicated to the operadic study of Nijenhuis structures, focusing on Nijenhuis Lie algebras and Nijenhuis geometry. We introduce the concept of…
Deformations and homotopy theory of Nijenhuis associative algebras
Chao Song, Kai Wang, Yuanyuan Zhang +1
This paper is the first in a series of works devoted to an operadic study of Nijenhuis structures, focusing on Nijenhuis associative algebras. We introduce the concept of homotopy…
Cohomology theory of Rota-Baxter family BiHom--associative algebras
Jiaqi Liu, Chao Song, Yuanyuan Zhang
In this paper, we first introduce the concept of Rota-Baxter family BiHom--associative algebras, then we define the cochain complex of BiHom--associative algebras and verif…
BiHom--associative algebras and related structures
Jiaqi Liu, Yuanyuan Zhang
In this paper, we first propose the concepts of BiHom--associative algebras, BiHom--dendriform algebras, BiHom--pre-Lie algebras and BiHom--Lie algebras. We then ob…