{"title":"自由幂零李代数和有限指数的自由幂零p群的可决性和稳定性","authors":"Andreas Baudisch","doi":"10.1016/0003-4843(82)90008-0","DOIUrl":null,"url":null,"abstract":"<div><p>Our main result is the decidability and ω-stability of free <em>c</em>th nilpotent <em>p</em>-groups of finite exponent (<em>c</em> < <em>p</em>).</p></div>","PeriodicalId":100093,"journal":{"name":"Annals of Mathematical Logic","volume":"23 1","pages":"Pages 1-25"},"PeriodicalIF":0.0000,"publicationDate":"1982-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/0003-4843(82)90008-0","citationCount":"18","resultStr":"{\"title\":\"Decidability and stability of free nilpotent lie algebras and free nilpotent p-groups of finite exponent\",\"authors\":\"Andreas Baudisch\",\"doi\":\"10.1016/0003-4843(82)90008-0\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>Our main result is the decidability and ω-stability of free <em>c</em>th nilpotent <em>p</em>-groups of finite exponent (<em>c</em> < <em>p</em>).</p></div>\",\"PeriodicalId\":100093,\"journal\":{\"name\":\"Annals of Mathematical Logic\",\"volume\":\"23 1\",\"pages\":\"Pages 1-25\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1982-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/0003-4843(82)90008-0\",\"citationCount\":\"18\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Annals of Mathematical Logic\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/0003484382900080\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Annals of Mathematical Logic","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/0003484382900080","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
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