{"title":"A Family of dp-Minimal Expansions of (Z;+)","authors":"Chieu-Minh Tran, Erik Walsberg","doi":"10.1215/00294527-10670096","DOIUrl":null,"url":null,"abstract":"We show that the cyclically ordered-abelian groups expanding (Z;+) contain a continuum-size family of dp-minimal structures such that no two members define the same subsets of Z.","PeriodicalId":51259,"journal":{"name":"Notre Dame Journal of Formal Logic","volume":" ","pages":""},"PeriodicalIF":0.6000,"publicationDate":"2023-05-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"3","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"Notre Dame Journal of Formal Logic","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1215/00294527-10670096","RegionNum":3,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"LOGIC","Score":null,"Total":0}
引用次数: 3
Abstract
We show that the cyclically ordered-abelian groups expanding (Z;+) contain a continuum-size family of dp-minimal structures such that no two members define the same subsets of Z.
期刊介绍:
The Notre Dame Journal of Formal Logic, founded in 1960, aims to publish high quality and original research papers in philosophical logic, mathematical logic, and related areas, including papers of compelling historical interest. The Journal is also willing to selectively publish expository articles on important current topics of interest as well as book reviews.