A. Ballester-Bolinches , R. Esteban-Romero , L.A. Kurdachenko , V. Pérez-Calabuig
{"title":"论满足子括号最小条件的左括号的结构","authors":"A. Ballester-Bolinches , R. Esteban-Romero , L.A. Kurdachenko , V. Pérez-Calabuig","doi":"10.1016/j.jalgebra.2024.08.011","DOIUrl":null,"url":null,"abstract":"<div><p>We analyse the structure of infinite weakly soluble left braces that satisfy the minimal condition for subbraces. We observe that they can be characterised as the left braces with Chernikov additive group. We also present an example of left braces satisfying the minimal condition for ideals, but that do not satisfy the minimal condition for subbraces.</p></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":null,"pages":null},"PeriodicalIF":0.8000,"publicationDate":"2024-09-02","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://www.sciencedirect.com/science/article/pii/S002186932400468X/pdfft?md5=cc3752b9fe5aa7875c88a19194a51900&pid=1-s2.0-S002186932400468X-main.pdf","citationCount":"0","resultStr":"{\"title\":\"On the structure of left braces satisfying the minimal condition for subbraces\",\"authors\":\"A. Ballester-Bolinches , R. Esteban-Romero , L.A. Kurdachenko , V. Pérez-Calabuig\",\"doi\":\"10.1016/j.jalgebra.2024.08.011\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We analyse the structure of infinite weakly soluble left braces that satisfy the minimal condition for subbraces. We observe that they can be characterised as the left braces with Chernikov additive group. We also present an example of left braces satisfying the minimal condition for ideals, but that do not satisfy the minimal condition for subbraces.</p></div>\",\"PeriodicalId\":14888,\"journal\":{\"name\":\"Journal of Algebra\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-09-02\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://www.sciencedirect.com/science/article/pii/S002186932400468X/pdfft?md5=cc3752b9fe5aa7875c88a19194a51900&pid=1-s2.0-S002186932400468X-main.pdf\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Algebra\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S002186932400468X\",\"RegionNum\":2,\"RegionCategory\":\"数学\",\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"Q2\",\"JCRName\":\"MATHEMATICS\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Journal of Algebra","FirstCategoryId":"100","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S002186932400468X","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
On the structure of left braces satisfying the minimal condition for subbraces
We analyse the structure of infinite weakly soluble left braces that satisfy the minimal condition for subbraces. We observe that they can be characterised as the left braces with Chernikov additive group. We also present an example of left braces satisfying the minimal condition for ideals, but that do not satisfy the minimal condition for subbraces.
期刊介绍：
The Journal of Algebra is a leading international journal and publishes papers that demonstrate high quality research results in algebra and related computational aspects. Only the very best and most interesting papers are to be considered for publication in the journal. With this in mind, it is important that the contribution offer a substantial result that will have a lasting effect upon the field. The journal also seeks work that presents innovative techniques that offer promising results for future research.
京公网安备 11010802042870号
京ICP备2023020795号-1
分享
求助内容：
应助结果提醒方式：
扫码关注我们
