12 citations · 14 across the 7 of their papers we have counts for
7 papers
Modular structure theory on Hom-Lie algebras
Dan Mao, Baoling Guan, Liangyun Chen
The aim of this paper is to transfer the restrictedness theory to Hom-Lie algebras. The concept of restricted Hom-Lie algebras which is introduced in \cite{BM2} will be used in thi…
3-ary Hom-Lie superalgebras induced Hom-Lie superalgebras
Baoling Guan, Liangyun Chen, Bing Sun
The purpose of this paper is to study the relationships between a Hom-Lie superalgebra and its induced 3-ary-Hom-Lie superalgebra. We provide an overview of the theory and explore…
Restricted hom-Lie algebras
Baoling Guan, Liangyun Chen
The paper studies the structure of restricted hom-Lie algebras. More specifically speaking, we first give the equivalent definition of restricted hom-Lie algebras. Second, we obtai…
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…
On the cohomology and extensions of -ary multiplicative Hom-Nambu-Lie superalgebras
Baoling Guan, Liangyun Chen, Yao Ma
In this paper, we discuss the representations of -ary multiplicative Hom-Nambu-Lie superalgebras as a generalization of the notion of representations for -ary multiplicative…
Some characterizations of nilpotent -Lie superalgebras
Baoling Guan, Liangyun Chen, Ma Yao
The paper studies nilpotent -Lie superalgebras. More specifically speaking, we first prove Engel's theorem for -Lie superalgebras. Second, we research some properties of nilp…