{"title":"On unbounded polynomial dynamical systems","authors":"Hamza Boujemaa, Said El Qotbi","doi":"10.3336/gm.53.2.07","DOIUrl":null,"url":null,"abstract":"Suppose given a polynomial dynamical system of degree m. It is known that if the algebra associated to the corresponding homogeneous dynamical system of degree m has an idempotent element then the original dynamical system is unbounded. In this work, we give a sufficient condition ensuring the unboundedness even when there is no idempotent. Some applications are also given.","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2018-12-30","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.3336/gm.53.2.07","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 3
Abstract
Suppose given a polynomial dynamical system of degree m. It is known that if the algebra associated to the corresponding homogeneous dynamical system of degree m has an idempotent element then the original dynamical system is unbounded. In this work, we give a sufficient condition ensuring the unboundedness even when there is no idempotent. Some applications are also given.
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