{"title":"怪物类型 II 的斜轴代数方程","authors":"Michael Turner","doi":"10.1016/j.jalgebra.2024.09.029","DOIUrl":null,"url":null,"abstract":"<div><div>In our first paper, we looked at 2-generated primitive axial algebras of Monster type with skew axet <span><math><msup><mrow><mi>X</mi></mrow><mrow><mo>′</mo></mrow></msup><mo>(</mo><mn>1</mn><mo>+</mo><mn>2</mn><mo>)</mo></math></span>. We continue our work by focusing on larger skew axets and classifying all such algebras with skew axets. This brings us one step closer to a complete classification of all 2-generated primitive axial algebras of Monster type.</div></div>","PeriodicalId":14888,"journal":{"name":"Journal of Algebra","volume":"664 ","pages":"Pages 209-222"},"PeriodicalIF":0.8000,"publicationDate":"2024-10-16","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"Skew axial algebras of Monster type II\",\"authors\":\"Michael Turner\",\"doi\":\"10.1016/j.jalgebra.2024.09.029\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><div>In our first paper, we looked at 2-generated primitive axial algebras of Monster type with skew axet <span><math><msup><mrow><mi>X</mi></mrow><mrow><mo>′</mo></mrow></msup><mo>(</mo><mn>1</mn><mo>+</mo><mn>2</mn><mo>)</mo></math></span>. We continue our work by focusing on larger skew axets and classifying all such algebras with skew axets. This brings us one step closer to a complete classification of all 2-generated primitive axial algebras of Monster type.</div></div>\",\"PeriodicalId\":14888,\"journal\":{\"name\":\"Journal of Algebra\",\"volume\":\"664 \",\"pages\":\"Pages 209-222\"},\"PeriodicalIF\":0.8000,\"publicationDate\":\"2024-10-16\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Journal of Algebra\",\"FirstCategoryId\":\"100\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0021869324005349\",\"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/S0021869324005349","RegionNum":2,"RegionCategory":"数学","ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"Q2","JCRName":"MATHEMATICS","Score":null,"Total":0}
In our first paper, we looked at 2-generated primitive axial algebras of Monster type with skew axet . We continue our work by focusing on larger skew axets and classifying all such algebras with skew axets. This brings us one step closer to a complete classification of all 2-generated primitive axial algebras of Monster type.
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.
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