{"title":"对称空间与k环\\(\\omega \\) -稳定\\(\\omega \\) -稳定对称空间与k环","authors":"Samuel Zamour","doi":"10.1007/s00153-025-00967-4","DOIUrl":null,"url":null,"abstract":"<div><p>We develop the model theory of <span>\\(\\omega \\)</span>-stable K-loops and symmetric spaces. Continuing Poizat’s seminal work, we notably establish an appropriate version of the indecomposability theorem and we adapt Lascar’s analysis to this context.</p></div>","PeriodicalId":48853,"journal":{"name":"Archive for Mathematical Logic","volume":"64 5-6","pages":"857 - 876"},"PeriodicalIF":0.4000,"publicationDate":"2025-03-12","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://link.springer.com/content/pdf/10.1007/s00153-025-00967-4.pdf","citationCount":"0","resultStr":"{\"title\":\"Symétrons et K-boucles \\\\(\\\\omega \\\\)-stables \\\\(\\\\omega \\\\)-stable symmetric spaces and K-loops\",\"authors\":\"Samuel Zamour\",\"doi\":\"10.1007/s00153-025-00967-4\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We develop the model theory of <span>\\\\(\\\\omega \\\\)</span>-stable K-loops and symmetric spaces. Continuing Poizat’s seminal work, we notably establish an appropriate version of the indecomposability theorem and we adapt Lascar’s analysis to this context.</p></div>\",\"PeriodicalId\":48853,\"journal\":{\"name\":\"Archive for Mathematical Logic\",\"volume\":\"64 5-6\",\"pages\":\"857 - 876\"},\"PeriodicalIF\":0.4000,\"publicationDate\":\"2025-03-12\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://link.springer.com/content/pdf/10.1007/s00153-025-00967-4.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Archive for Mathematical Logic\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://link.springer.com/article/10.1007/s00153-025-00967-4\",\"RegionNum\":4,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q1\",\"JCRName\":\"Arts and Humanities\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Archive for Mathematical Logic","FirstCategoryId":"100","ListUrlMain":"https://link.springer.com/article/10.1007/s00153-025-00967-4","RegionNum":4,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q1","JCRName":"Arts and Humanities","Score":null,"Total":0}
Symétrons et K-boucles \(\omega \)-stables \(\omega \)-stable symmetric spaces and K-loops
We develop the model theory of \(\omega \)-stable K-loops and symmetric spaces. Continuing Poizat’s seminal work, we notably establish an appropriate version of the indecomposability theorem and we adapt Lascar’s analysis to this context.
期刊介绍:
The journal publishes research papers and occasionally surveys or expositions on mathematical logic. Contributions are also welcomed from other related areas, such as theoretical computer science or philosophy, as long as the methods of mathematical logic play a significant role. The journal therefore addresses logicians and mathematicians, computer scientists, and philosophers who are interested in the applications of mathematical logic in their own field, as well as its interactions with other areas of research.