{"title":"无扭阿贝尔群中的类型","authors":"Elena Bunina","doi":"arxiv-2409.07728","DOIUrl":null,"url":null,"abstract":"In this paper we study (logical) types and isotypical equivalence of torsion\nfree Abelian groups. We describe all possible types of elements and standard\n2-tuples of elements in these groups and classify separable torsion free\nAbelian groups up to isotypicity.","PeriodicalId":501037,"journal":{"name":"arXiv - MATH - Group Theory","volume":"62 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Types in torsion free Abelian groups\",\"authors\":\"Elena Bunina\",\"doi\":\"arxiv-2409.07728\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we study (logical) types and isotypical equivalence of torsion\\nfree Abelian groups. We describe all possible types of elements and standard\\n2-tuples of elements in these groups and classify separable torsion free\\nAbelian groups up to isotypicity.\",\"PeriodicalId\":501037,\"journal\":{\"name\":\"arXiv - MATH - Group Theory\",\"volume\":\"62 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Group Theory\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.07728\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Group Theory","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.07728","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
In this paper we study (logical) types and isotypical equivalence of torsion
free Abelian groups. We describe all possible types of elements and standard
2-tuples of elements in these groups and classify separable torsion free
Abelian groups up to isotypicity.
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