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Rota-Baxter Leibniz Algebras and Their Constructions

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  • Liangyun Zhang
  • Linhan Li
  • Huihui Zheng

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.

Suggested Citation

  • Liangyun Zhang & Linhan Li & Huihui Zheng, 2018. "Rota-Baxter Leibniz Algebras and Their Constructions," Advances in Mathematical Physics, Hindawi, vol. 2018, pages 1-15, December.
    • Handle: RePEc:hin:jnlamp:8540674
    DOI: 10.1155/2018/8540674
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