Rota-Baxter Leibniz Algebras and Their Constructions
Joint Authors
Zhang, Liangyun
Li, Linhan
Zheng, Huihui
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-12-02
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
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 0 and -1 on solvable and nilpotent Leibniz algebras of dimension ≤3, respectively.
American Psychological Association (APA)
Zhang, Liangyun& Li, Linhan& Zheng, Huihui. 2018. Rota-Baxter Leibniz Algebras and Their Constructions. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1119304
Modern Language Association (MLA)
Zhang, Liangyun…[et al.]. Rota-Baxter Leibniz Algebras and Their Constructions. Advances in Mathematical Physics No. 2018 (2018), pp.1-15.
https://search.emarefa.net/detail/BIM-1119304
American Medical Association (AMA)
Zhang, Liangyun& Li, Linhan& Zheng, Huihui. Rota-Baxter Leibniz Algebras and Their Constructions. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-15.
https://search.emarefa.net/detail/BIM-1119304
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119304
