Some Results on Zinbiel Algebras and Rota–Baxter Operators-Reference-Cited by-同舟云学术

Some Results on Zinbiel Algebras and Rota–Baxter Operators

Published:2024-05-10 Issue:5 Volume:13 Page:314
ISSN:2075-1680
Container-title:Axioms
language:en
Short-container-title:Axioms

Author:

Gao Jizhong¹,Ni Junna²,Yu Jianhua²

Affiliation:

1. School of Electrical and Computer Engineering, Guangzhou Nanfang College, Guangzhou 510970, China

2. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, China

Abstract

Rota–Baxter operators (RBOs) play a substantial role in many subfields of mathematics, especially in mathematical physics. In the article, RBOs on Zinbiel algebras (ZAs) and their sub-adjacent algebras are first investigated. Moreover, all the RBOs on two and three-dimensional ZAs are presented. Finally, ZAs are also realized in low dimensions of the RBOs of commutative associative algebras. It was found that not all ZAs can be attained in this way.

Funder

NNSF of China

Guangdong Scientific Research Promotion Project

Guangdong Engineering Technology Center

Publisher

MDPI AG

Link

https://www.mdpi.com/2075-1680/13/5/314/pdf

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