{"title":"On irreducible algebraic sets over linearly ordered semilattices","authors":"A. Shevlyakov","doi":"10.1515/gcc-2016-0014","DOIUrl":null,"url":null,"abstract":"Abstract Equations over linearly ordered semilattices are studied. For any equation t ( X ) = s ( X ) ${t(X)=s(X)}$ we find irreducible components of its solution set and compute the average number of irreducible components of all equations in n variables.","PeriodicalId":41862,"journal":{"name":"Groups Complexity Cryptology","volume":"1 1","pages":"187 - 195"},"PeriodicalIF":0.1000,"publicationDate":"2016-01-15","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"2","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Groups Complexity Cryptology","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1515/gcc-2016-0014","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: 2
Abstract
Abstract Equations over linearly ordered semilattices are studied. For any equation t ( X ) = s ( X ) ${t(X)=s(X)}$ we find irreducible components of its solution set and compute the average number of irreducible components of all equations in n variables.