Rota-Baxter Leibniz Algebras and Their Constructions

Liangyun Zhang, Linhan Li and Huihui Zheng

Advances in Mathematical Physics, 2018, vol. 2018, 1-15

Abstract:

In this paper, we introduce the concept of Rota-Baxter Leibniz algebras and explore two characterizations of Rota-Baxter Leibniz algebras. And we construct a number of Rota-Baxter Leibniz algebras from Leibniz algebras and associative algebras and discover some Rota-Baxter Leibniz algebras from augmented algebra, bialgebra, and weak Hopf algebra. In the end, we give all Rota-Baxter operators of weight and on solvable and nilpotent Leibniz algebras of dimension 3, respectively.

Date: 2018
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlamp:8540674

DOI: 10.1155/2018/8540674

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