{"title":"混合多二次分裂场","authors":"Fatma Kader Bingöl, Adam Chapman, Ahmed Laghribi","doi":"10.1007/s00013-025-02135-9","DOIUrl":null,"url":null,"abstract":"<div><p>We study mixed multiquadratic field extensions as splitting fields for central simple algebras of exponent 2 in characteristic 2. As an application, we provide examples of nonexcellent mixed biquadratic field extensions.</p></div>","PeriodicalId":8346,"journal":{"name":"Archiv der Mathematik","volume":"125 1","pages":"29 - 37"},"PeriodicalIF":0.5000,"publicationDate":"2025-05-14","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00013-025-02135-9.pdf","citationCount":"0","resultStr":"{\"title\":\"Mixed multiquadratic splitting fields\",\"authors\":\"Fatma Kader Bingöl, Adam Chapman, Ahmed Laghribi\",\"doi\":\"10.1007/s00013-025-02135-9\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We study mixed multiquadratic field extensions as splitting fields for central simple algebras of exponent 2 in characteristic 2. As an application, we provide examples of nonexcellent mixed biquadratic field extensions.</p></div>\",\"PeriodicalId\":8346,\"journal\":{\"name\":\"Archiv der Mathematik\",\"volume\":\"125 1\",\"pages\":\"29 - 37\"},\"PeriodicalIF\":0.5000,\"publicationDate\":\"2025-05-14\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s00013-025-02135-9.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archiv der Mathematik\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00013-025-02135-9\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q3\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archiv der Mathematik","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00013-025-02135-9","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q3","JCRName":"MATHEMATICS","Score":null,"Total":0}
We study mixed multiquadratic field extensions as splitting fields for central simple algebras of exponent 2 in characteristic 2. As an application, we provide examples of nonexcellent mixed biquadratic field extensions.
期刊介绍:
Archiv der Mathematik (AdM) publishes short high quality research papers in every area of mathematics which are not overly technical in nature and addressed to a broad readership.