30 citations · 66 across the 23 of their papers we have counts for
8 papers · 1 filter
On 3-Hom-Lie-Rinehart algebras
Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang
We introduce the notion of 3-Hom-Lie-Rinehart algebra and systematically describe a cohomology complex by considering coefficient modules. Furthermore, we consider extensions of a…
Representations and deformations of Hom-Lie-Yamaguti superalgebras
Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang
Let be a Hom-Lie-Yamaguti superalgebra. We first introduce the representation and cohomology theory of Hom-Lie-Yamaguti superalgebras. Furthermore, we introduce the notion…
On the structure of split regular Hom-Lie Rinehart algebras
Shengxiang Wang, Xiaohui Zhang, Shuangjian Guo
The aim of this paper is to study the structures of split regular Hom-Lie Rinehart algebras. Let be a split regular Hom-Lie Rinehart algebra. We first show that is of t…
On split regular BiHom-Leibniz superalgebras
Shuangjian Guo, Shengxiang Wang
The goal of this paper is to study the structure of split regular BiHom-Leiniz superalgebras, which is a natural generalization of split regular Hom-Leiniz algebras and split regul…
Derivations and deformations of -Jordan Lie supertriple systems
Shengxiang Wang, Xiaohui Zhang, Shuangjian Guo
Let be a -Jordan Lie supertriple system. We first introduce the notions of generalized derivations and representations of and present some properties. Also, we study the…
-dervations of Lie color algebras
Yizheng Li, Shuangjian Guo
The aim of this article is to discuss the -derivation algebras of Lie color algebras. It is proved that, if the base ring contains , is a perfect Lie color al…
Central invariants and enveloping algebras of braided Hom-Lie algebras
Shengxiang Wang, Xiaohui Zhang, Shuangjian Guo
Let be a monoidal Hom-Hopf algebra and the Hom-Yetter-Drinfeld category over . Then in this paper, we first introduce the definition of braid…
The constructions of 3-Hom-Lie bialgebras
Shuangjian Guo, Xiaohui Zhang, Shengxiang Wang
In this paper, we first introduce the notion of a 3-Hom-Lie bialgebra and prove that it is equivalent to a Manin triple of 3-Hom-Lie algebras. Also, we study the -oper…