{"title":"具有三维可定义封闭性的弱环最小理论的二元公式库","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":"{\"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}","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}
Algebras of Binary Formulas for Weakly Circularly Minimal Theories with Trivial Definable Closure
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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