{"title":"Generated sets of the complete semigroup binary relations defined by semilattices of the finite chains","authors":"Omari Givradze, Yasha Diasamidze, Nino Tsinaridze","doi":"10.1016/j.trmi.2018.08.004","DOIUrl":null,"url":null,"abstract":"<div><p>In this article, we study generated sets of the complete semigroups of binary relations defined by <span><math><mi>X</mi></math></span>-semilattices unions of the finite chains. We found uniquely irreducible generating set for the given semigroups.</p></div>","PeriodicalId":43623,"journal":{"name":"Transactions of A Razmadze Mathematical Institute","volume":null,"pages":null},"PeriodicalIF":0.3000,"publicationDate":"2018-12-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.trmi.2018.08.004","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Transactions of A Razmadze Mathematical Institute","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S2346809218300436","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q4","JCRName":"MATHEMATICS","Score":null,"Total":0}
引用次数: 3
Abstract
In this article, we study generated sets of the complete semigroups of binary relations defined by -semilattices unions of the finite chains. We found uniquely irreducible generating set for the given semigroups.
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