https://orcid.org/0000-0003-3241-0349
![Sample our Mathematics & Statistics journals, sign in here to start your FREE access for 14 days]({"type":"image" , "src" : "/sda/5943/TOC-Subject-Sample-2021-Mathematics-Statistics.jpg"})
Abstract
In this paper, we mainly present some new solutions of the Hom-Yang-Baxter equation from Hom-algebras, Hom-coalgebras and Hom-Lie algebras, respectively. Also, we prove that these solutions are all invertible and give some examples. Finally, we introduce the notion of Hom-Yang-Baxter systems and obtain two kinds of Hom-Yang-Baxter systems.
Acknowledgments
The authors are grateful to the referees for carefully reading the manuscript and for many valuable comments which largely improved the article.
Data availability statement
Our manuscripts does not include a data availability statement.
Funding
Additional information
Funding
The paper is supported by the NSF of China (No. 12161013), Anhui Provincial Natural Science Foundation (Nos. 1908085MA03 and 2108085MA13) and the Key University Science Research Project of Anhui Province (No. KJ2020A0711).