{"title":"论可解鲍姆斯拉格-索利塔群的完形基本理论","authors":"N. S. Romanovskiy","doi":"10.1134/S1064562424601239","DOIUrl":null,"url":null,"abstract":"<p>We define a divisible completion of the solvable Baumslag-Solitar group <span>\\(BS(1,n)\\)</span> and prove that under certain restrictions on <i>n</i> the elementary theory of this completion is decidable.</p>","PeriodicalId":0,"journal":{"name":"","volume":null,"pages":null},"PeriodicalIF":0.0,"publicationDate":"2024-08-09","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"On Elementary Theory of Completion of Solvable Baumslag–Solitar Group\",\"authors\":\"N. S. Romanovskiy\",\"doi\":\"10.1134/S1064562424601239\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<p>We define a divisible completion of the solvable Baumslag-Solitar group <span>\\\\(BS(1,n)\\\\)</span> and prove that under certain restrictions on <i>n</i> the elementary theory of this completion is decidable.</p>\",\"PeriodicalId\":0,\"journal\":{\"name\":\"\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0,\"publicationDate\":\"2024-08-09\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1134/S1064562424601239\",\"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://link.springer.com/article/10.1134/S1064562424601239","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
引用次数: 0
摘要
我们定义了可解 Baumslag-Solitar 群 \(BS(1,n)\)的可分完成，并证明在 n 的某些限制条件下，这个完成的基本理论是可解的。
On Elementary Theory of Completion of Solvable Baumslag–Solitar Group
We define a divisible completion of the solvable Baumslag-Solitar group \(BS(1,n)\) and prove that under certain restrictions on n the elementary theory of this completion is decidable.
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