{"title":"翻转子代数中的激元","authors":"Bernardo G. Rodrigues, Sergey Shpectorov","doi":"arxiv-2409.05236","DOIUrl":null,"url":null,"abstract":"We develop methods for determining key properties (simplicity and the\ndimension of radical) of flip subalgebras in Matsuo algebras. These are\ninteresting classes of commutative non-associative algebras that were\nintroduced within the broader paradigm of axial algebras.","PeriodicalId":501136,"journal":{"name":"arXiv - MATH - Rings and Algebras","volume":"24 1","pages":""},"PeriodicalIF":0.0000,"publicationDate":"2024-09-08","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Radicals in flip subalgebras\",\"authors\":\"Bernardo G. Rodrigues, Sergey Shpectorov\",\"doi\":\"arxiv-2409.05236\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We develop methods for determining key properties (simplicity and the\\ndimension of radical) of flip subalgebras in Matsuo algebras. These are\\ninteresting classes of commutative non-associative algebras that were\\nintroduced within the broader paradigm of axial algebras.\",\"PeriodicalId\":501136,\"journal\":{\"name\":\"arXiv - MATH - Rings and Algebras\",\"volume\":\"24 1\",\"pages\":\"\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-08\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"arXiv - MATH - Rings and Algebras\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/arxiv-2409.05236\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"arXiv - MATH - Rings and Algebras","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/arxiv-2409.05236","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
We develop methods for determining key properties (simplicity and the
dimension of radical) of flip subalgebras in Matsuo algebras. These are
interesting classes of commutative non-associative algebras that were
introduced within the broader paradigm of axial algebras.
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