{"title":"Suberesolving codes","authors":"Somayyeh Jangjooye Shaldehi","doi":"10.5556/j.tkjm.54.2023.4635","DOIUrl":null,"url":null,"abstract":"We show that any right continuing factor code with retract 0 into an irreducible shift of finite type is right eresolving, and we give some sufficient conditions for a right eresolving almost everywhere code being right eresolving everywhere. Suberesolving codes as a generalization of ersolving codes have been introduced and we determine some shift spaces which preserved by suberesolving codes. Also, we show that any bi-eresolving (resp. bi-suberesolving) code on an irreducible shift of finite type (resp. a synchronized system) is open (resp. semi-open) and any right suberesolving code on a synchronized system is right continuing almost everywhere.","PeriodicalId":45776,"journal":{"name":"Tamkang Journal of Mathematics","volume":null,"pages":null},"PeriodicalIF":0.7000,"publicationDate":"2022-07-29","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Tamkang Journal of Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5556/j.tkjm.54.2023.4635","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
We show that any right continuing factor code with retract 0 into an irreducible shift of finite type is right eresolving, and we give some sufficient conditions for a right eresolving almost everywhere code being right eresolving everywhere. Suberesolving codes as a generalization of ersolving codes have been introduced and we determine some shift spaces which preserved by suberesolving codes. Also, we show that any bi-eresolving (resp. bi-suberesolving) code on an irreducible shift of finite type (resp. a synchronized system) is open (resp. semi-open) and any right suberesolving code on a synchronized system is right continuing almost everywhere.
期刊介绍：
To promote research interactions between local and overseas researchers, the Department has been publishing an international mathematics journal, the Tamkang Journal of Mathematics. The journal started as a biannual journal in 1970 and is devoted to high-quality original research papers in pure and applied mathematics. In 1985 it has become a quarterly journal. The four issues are out for distribution at the end of March, June, September and December. The articles published in Tamkang Journal of Mathematics cover diverse mathematical disciplines. Submission of papers comes from all over the world. All articles are subjected to peer review from an international pool of referees.
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