{"title":"Separating variables in bivariate polynomial ideals","authors":"Manfred Buchacher, Manuel Kauers, G. Pogudin","doi":"10.1145/3373207.3404028","DOIUrl":null,"url":null,"abstract":"We present an algorithm which for any given ideal I ⊆ K[x, y] finds all elements of I that have the form f(x) - g(y), i.e., all elements in which no monomial is a multiple of xy.","PeriodicalId":186699,"journal":{"name":"Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation","volume":"11 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-02-04","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"1","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the 45th International Symposium on Symbolic and Algebraic Computation","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1145/3373207.3404028","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 1
Abstract
We present an algorithm which for any given ideal I ⊆ K[x, y] finds all elements of I that have the form f(x) - g(y), i.e., all elements in which no monomial is a multiple of xy.
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