21 citations · 81 across the 28 of their papers we have counts for
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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…
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}…
On the Deformation of Lie-Yamaguti algebras
Jie Lin, Liangyun Chen, Yao Ma
The deformation theory of Lie-Yamaguti algebras is developed by choosing a suitable cohomology. The relationship between the deformation and the obstruction of Lie-Yamaguti algebra…
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…