21 citations · 177 across the 58 of their papers we have counts for
9 papers · 1 filter
Generalized Derivations of Lie triple systems
Jia Zhou, Liangyun Chen, Yao Ma
In this paper, we present some basic properties concerning the derivation algebra , the quasiderivation algebra and the generalized derivation algebra…
On the structures of split Leibniz triple systems
Yan Cao, Liangyun Chen
We study the structures of arbitrary split Leibniz triple systems. By developing techniques of connections of roots for this kind of triple systems, under certain conditions, in th…
On the structures of split Jordan-Lie algebras
Yan Cao, Liangyun Chen
We study the structures of arbitrary split Jordan-Lie algebras with symmetric root systems. We show that any of such algebras is of the form $L = U + \sum\limits_{[j] \in Λ…
Some structure theories of Leibniz triple systems
Yao Ma, Liangyun Chen
In this paper, we investigate the Leibniz triple system and its universal Leibniz envelope . The involutive automorphism of determining is introduced, which gi…
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…
Triple Derivations and Triple Homomorphisms of Perfect Lie Superalgebras
Jia Zhou, Liangyun Chen, Yao Ma
In this paper, we study triple derivations and triple homomorphisms of perfect Lie superalgebras over a commutative ring . It is proved that, if the base ring contains $\frac{1}…
Representations and *-extensions of hom-Jordan-Lie algebras
Jun Zhao, Liangyun Chen, Lili Ma
The purpose of this paper is to study representations and *-extensions of hom-Jordan-Lie algebras. In particular, adjoint representations, trivial representations, deformations…
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…
On the deformations and derivations of -ary multiplicative Hom-Nambu-Lie superalgebras
Baoling Guan, Liangyun Chen
In this paper, we introduce the relevant concepts of -ary multiplicative Hom-Nambu-Lie superalgebras and construct three classes of -ary multiplicative Hom-Nambu-Lie superalg…