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- W2902509104 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 <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M1><mml:mrow><mml:mn mathvariant=normal>0</mml:mn></mml:mrow></mml:math> and <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M2><mml:mo>-</mml:mo><mml:mn mathvariant=normal>1</mml:mn></mml:math> on solvable and nilpotent Leibniz algebras of dimension <mml:math xmlns:mml=http://www.w3.org/1998/Math/MathML id=M3><mml:mrow><mml:mo>≤</mml:mo></mml:mrow></mml:math>3, respectively." @default.
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- W2902509104 date "2018-12-02" @default.
- W2902509104 modified "2023-09-24" @default.
- W2902509104 title "Rota-Baxter Leibniz Algebras and Their Constructions" @default.
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- W2902509104 doi "https://doi.org/10.1155/2018/8540674" @default.
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