{"title":"Nienhuys-Thiemann定理在H(G)上环导中的应用","authors":"N.R. Nandakumar","doi":"10.1016/S1385-7258(88)80027-1","DOIUrl":null,"url":null,"abstract":"<div><p>In this paper as an application of Nienhuys-Thiemann's theorem we show that a ring derivation on <em>H(G)</em>, the algebra of analytic functions on a region <em>G</em>, is linear.</p></div>","PeriodicalId":100664,"journal":{"name":"Indagationes Mathematicae (Proceedings)","volume":"91 2","pages":"Pages 199-203"},"PeriodicalIF":0.0000,"publicationDate":"1988-06-20","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/S1385-7258(88)80027-1","citationCount":"7","resultStr":"{\"title\":\"An application of Nienhuys-Thiemann's theorem to Ring derivations on H(G)\",\"authors\":\"N.R. Nandakumar\",\"doi\":\"10.1016/S1385-7258(88)80027-1\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>In this paper as an application of Nienhuys-Thiemann's theorem we show that a ring derivation on <em>H(G)</em>, the algebra of analytic functions on a region <em>G</em>, is linear.</p></div>\",\"PeriodicalId\":100664,\"journal\":{\"name\":\"Indagationes Mathematicae (Proceedings)\",\"volume\":\"91 2\",\"pages\":\"Pages 199-203\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"1988-06-20\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/S1385-7258(88)80027-1\",\"citationCount\":\"7\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Indagationes Mathematicae (Proceedings)\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S1385725888800271\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Indagationes Mathematicae (Proceedings)","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S1385725888800271","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
An application of Nienhuys-Thiemann's theorem to Ring derivations on H(G)
In this paper as an application of Nienhuys-Thiemann's theorem we show that a ring derivation on H(G), the algebra of analytic functions on a region G, is linear.