12 citations · 14 across the 5 of their papers we have counts for
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Deformations and abelian extensions of compatible pre-Lie algebras
Shanshan Liu, Liangyun Chen
In this paper, we first give the notation of a compatible pre-Lie algebra and its representation. We study the relation between compatible Lie algebras and compatible pre-Lie algeb…
Relative Rota-Baxter operators of nonzero weights on Lie Triple Systems
Xueru Wu, Yao Ma, Liangyun Chen
In this paper, we introduce the notion of a relative Rota-Baxter operator of weight on a Lie triple system with respect to an action on another Lie triple system, which can be…
The construction and deformation of Hom-Novikov superalgebras
Bing Sun, Liangyun Chen, Yan Liu
We study a twisted generalization of Novikov superalgebras, called Hom-Novikov superalgebras. It is shown that two classes of Hom-Novikov superalgebras can be constructed from Hom-…
Generalized Derivations of Hom-Lie Superalgebras
Jia Zhou, Liangyun Chen, Yao Ma
In this paper, we give some basic properties of the generalized derivation algebra of a Hom-Lie superalgebra . In particular, we prove that ${\rm GDer}(L) = {\rm…
The structure of restricted Leibniz algebras
Baoling Guan, Liangyun Chen
The paper studies the structure of restricted Leibniz algebras. More specifically speaking, we first give the equivalent definition of restricted Leibniz algebras, which is by far…