{"title":"Symmetric bi-derivations of UP(BCC)-algebras","authors":"Damla Yılmaz","doi":"10.1080/11663081.2023.2269433","DOIUrl":null,"url":null,"abstract":"AbstractIn this paper, we define the notions of (l,r)-symmetric bi-derivations and (r,l)-symmetric bi-derivations on UP-algebras and investigate some properties of them. For these derivations, we introduce the sets Kerd(U), Fixd(U) and FixD(U). Moreover, we examine with examples whether these sets are UP-subalgebra or UP-ideal.Keywords: UP-algebrasymmetric bi-derivationUP-idealfixed setBCC-algebras Disclosure statementNo potential conflict of interest was reported by the author(s).","PeriodicalId":38573,"journal":{"name":"Journal of Applied Non-Classical Logics","volume":"125 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2023-10-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Applied Non-Classical Logics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1080/11663081.2023.2269433","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Arts and Humanities","Score":null,"Total":0}
引用次数: 0
Abstract
AbstractIn this paper, we define the notions of (l,r)-symmetric bi-derivations and (r,l)-symmetric bi-derivations on UP-algebras and investigate some properties of them. For these derivations, we introduce the sets Kerd(U), Fixd(U) and FixD(U). Moreover, we examine with examples whether these sets are UP-subalgebra or UP-ideal.Keywords: UP-algebrasymmetric bi-derivationUP-idealfixed setBCC-algebras Disclosure statementNo potential conflict of interest was reported by the author(s).