{"title":"Algebras of Binary Formulas for Weakly Circularly Minimal Theories with Trivial Definable Closure","authors":"B. Sh. Kulpeshov","doi":"10.1134/s0037446624020071","DOIUrl":null,"url":null,"abstract":"<p>We describe the algebras of binary formulas for\ncountably categorical weakly circularly minimal theories with 1-transitive nonprimitive\nautomorphism group and trivial definable closure\nhaving convexity rank 1. We find some criterion for commutativity of the algebras.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-03-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":null,"platform":"Semanticscholar","paperid":null,"PeriodicalName":"","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0037446624020071","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
Abstract
We describe the algebras of binary formulas for
countably categorical weakly circularly minimal theories with 1-transitive nonprimitive
automorphism group and trivial definable closure
having convexity rank 1. We find some criterion for commutativity of the algebras.
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