Reynolds operators on Hom-Leibniz algebras-Reference-Cited by-同舟云学术

Reynolds operators on Hom-Leibniz algebras

Published:2023 Issue:7 Volume:37 Page:2117-2130
ISSN:0354-5180
Container-title:Filomat
language:en
Short-container-title:Filomat

Author:

Wanga Dingguo¹,Keb Yuanyuan²

Affiliation:

1. School of Mathematical Sciences, Qufu Normal University, Qufu, P.R. China

2. School of Artificial Intelligence, Jianghan University, Wuhan, P.R. China

Abstract

In this paper, we first introduce the notion of Reynolds operators on Hom-Leibniz algebras and give some constructions. Furthermore, we define the cohomology of Reynolds operators, and use this cohomology to study deformations of Reynolds operators. As applications, we introduce and study NS-Hom-Leibniz algebras as the underlying structure of Reynolds operators.

Publisher

National Library of Serbia

Subject

General Mathematics

Reference27 articles.

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4. Y. Chen and L. Zhang, The category of Yetter-Drinfel’d Hom-modules and the quantum Hom-Yang-Baxter equation, J. Math. Phys. 55 (2014), 031702.

5. Y. Cheng and Y. Su, (Co)homology and universal central extension of Hom-Leibniz algebras, Acta Math. Sin. (Engl. Ser.) 27 (2011), 813-830.

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