{"title":"p阶d的p- adic理想和p- adic零定理","authors":"Ahmed Srhir","doi":"10.1016/S0764-4442(01)02110-3","DOIUrl":null,"url":null,"abstract":"<div><p>We introduce here the notion of <em>p</em>-adic ideal of <em>p</em>-rank <em>d</em> and the one of <em>p</em>-adic radical of <em>p</em>-rank <em>d</em> of an ideal by analogy with the real case. We use it to give another proof of the <em>p</em>-adic Nullstellensatz.</p></div>","PeriodicalId":100300,"journal":{"name":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","volume":"333 7","pages":"Pages 605-610"},"PeriodicalIF":0.0000,"publicationDate":"2001-10-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02110-3","citationCount":"1","resultStr":"{\"title\":\"Idéaux p-adiques de p-rang d et le théorème des zéros p-adiques\",\"authors\":\"Ahmed Srhir\",\"doi\":\"10.1016/S0764-4442(01)02110-3\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We introduce here the notion of <em>p</em>-adic ideal of <em>p</em>-rank <em>d</em> and the one of <em>p</em>-adic radical of <em>p</em>-rank <em>d</em> of an ideal by analogy with the real case. We use it to give another proof of the <em>p</em>-adic Nullstellensatz.</p></div>\",\"PeriodicalId\":100300,\"journal\":{\"name\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"volume\":\"333 7\",\"pages\":\"Pages 605-610\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2001-10-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S0764-4442(01)02110-3\",\"citationCount\":\"1\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0764444201021103\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Comptes Rendus de l'Académie des Sciences - Series I - Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0764444201021103","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Idéaux p-adiques de p-rang d et le théorème des zéros p-adiques
We introduce here the notion of p-adic ideal of p-rank d and the one of p-adic radical of p-rank d of an ideal by analogy with the real case. We use it to give another proof of the p-adic Nullstellensatz.