{"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":49533,"journal":{"name":"Siberian Mathematical Journal","volume":"16 1","pages":""},"PeriodicalIF":0.7000,"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\":49533,\"journal\":{\"name\":\"Siberian Mathematical Journal\",\"volume\":\"16 1\",\"pages\":\"\"},\"PeriodicalIF\":0.7000,\"publicationDate\":\"2024-03-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Siberian Mathematical Journal\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://doi.org/10.1134/s0037446624020071\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Siberian Mathematical Journal","FirstCategoryId":"100","ListUrlMain":"https://doi.org/10.1134/s0037446624020071","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","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.
期刊介绍:
Siberian Mathematical Journal is journal published in collaboration with the Sobolev Institute of Mathematics in Novosibirsk. The journal publishes the results of studies in various branches of mathematics.