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20152022
most citedSuper-Biderivations and Linear Super-Commuting Maps on the Lie Superalgebras

11 citations · 13 across the 10 of their papers we have counts for

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23 papers · 1 filter

math.RA2022

Deformations of relative Rota-Baxter operators on Leibniz Triple Systems

Xueru Wu, Yao Ma, Liangyun Chen

In this paper, we introduce the cohomology theory of relative Rota-Baxter operators on Leibniz triple systems. We use the cohomological approach to study linear and formal deformat…

math.RA2021

Conformal $(\si,\t)$-Derivations on Lie conformal superalgebras

Tianqi Feng, Jun Zhao, Liangyun Chen

In this paper, we focus on the $(\si,\t)$-derivation theory of Lie conformal superalgebras. Firstly, we study the fundamental properties of conformal $(\si,\t)$-derivations. Second…

math.RA2020

Product and complex structures on 3-Bihom-Lie algebras

Juan Li, Ying Hou, Liangyun Chen

In this paper, we first introduce the notion of a product structure on a -Bihom-Lie algebra which is a Nijenhuis operator with some conditions. And we provide that a -Bihom-L…

math.RA2020

Algebras of quotients and Martindale-like quotients of Leibniz algebras

Chenrui Yao, Yao Ma, Liming Tang +1

In this paper, the definitions of algebras of quotients and Martandale-like qoutients of Leibniz algebras are introduced and the interactions between the two quotients are determin…

math.RA202011 cited

Super-Biderivations and Linear Super-Commuting Maps on the Lie Superalgebras

Liming Tang, Lingyi Meng, Liangyun Chen

Suppose the ground field is algebraically closed and of characteristic different from 2. In this paper, we described the intrinsic connections among linear super-commuting maps, su…

math.RA2020

Algebras of quotients of Hom-Lie algebras

Chenrui Yao, Liangyun Chen

In this paper, we introduce the notion of algebras of quotients of Hom-Lie algebras and investigate some properties which can be lifted from a Hom-Lie algebra to its algebra of quo…