{"title":"Reynolds operators on Hom-Leibniz algebras","authors":"Dingguo Wanga, Yuanyuan Keb","doi":"10.2298/fil2307117w","DOIUrl":null,"url":null,"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.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2023-01-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.2298/fil2307117w","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
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.
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