{"title":"有限生成阿贝尔群的多幂零性","authors":"Behrooz Mashayekhy, M. Parvizi, S. Kayvanfar","doi":"10.5373/JARPM.351.012510","DOIUrl":null,"url":null,"abstract":"In this paper we determine all finitely generated abelian groups which are varietal capable with respect to the variety of polynilpotent groups. This result is a vast generalization of the famous Baer's result about capability of finitely generated abelian groups.","PeriodicalId":246536,"journal":{"name":"Journal of Advanced Research in Pure Mathematics","volume":"85 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2010-05-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"6","resultStr":"{\"title\":\"Polynilpotent Capability of Finitely Generated Abelian Groups\",\"authors\":\"Behrooz Mashayekhy, M. Parvizi, S. Kayvanfar\",\"doi\":\"10.5373/JARPM.351.012510\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"In this paper we determine all finitely generated abelian groups which are varietal capable with respect to the variety of polynilpotent groups. This result is a vast generalization of the famous Baer's result about capability of finitely generated abelian groups.\",\"PeriodicalId\":246536,\"journal\":{\"name\":\"Journal of Advanced Research in Pure Mathematics\",\"volume\":\"85 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2010-05-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"6\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Advanced Research in Pure Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.5373/JARPM.351.012510\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Advanced Research in Pure Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.5373/JARPM.351.012510","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Polynilpotent Capability of Finitely Generated Abelian Groups
In this paper we determine all finitely generated abelian groups which are varietal capable with respect to the variety of polynilpotent groups. This result is a vast generalization of the famous Baer's result about capability of finitely generated abelian groups.
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