{"title":"Homomorphisms of OBCI-algebras","authors":"Eunsuk Yang, Eun Hwan Roh, Young Bae Jun","doi":"10.1007/s13370-025-01249-1","DOIUrl":null,"url":null,"abstract":"<div><p>Recently Yang–Roh–Jun introduced the notion of OBCI-algebras as a generalization of BCI-algebras. Here we introduce homomorphisms and kernels of OBCI-algebras and investigate related properties. More exactly, we first define the homomorphism and kernel of OBCI-algebras. We then investigate properties related to (ordered) subalgebras, (ordered) filters and direct products of OBCI-algebras.</p></div>","PeriodicalId":46107,"journal":{"name":"Afrika Matematika","volume":"36 1","pages":""},"PeriodicalIF":0.9000,"publicationDate":"2025-01-21","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Afrika Matematika","FirstCategoryId":"1085","ListUrlMain":"https://link.springer.com/article/10.1007/s13370-025-01249-1","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 0
Abstract
Recently Yang–Roh–Jun introduced the notion of OBCI-algebras as a generalization of BCI-algebras. Here we introduce homomorphisms and kernels of OBCI-algebras and investigate related properties. More exactly, we first define the homomorphism and kernel of OBCI-algebras. We then investigate properties related to (ordered) subalgebras, (ordered) filters and direct products of OBCI-algebras.
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