Antonio J. Calderón Martín , Cándido Martín González
{"title":"绝对值结构理论中的同伦方法","authors":"Antonio J. Calderón Martín , Cándido Martín González","doi":"10.1016/j.top.2009.11.014","DOIUrl":null,"url":null,"abstract":"<div><p>We introduce homotopical techniques in the frameworks of two-graded absolute valued algebras and absolute valued triple systems, which will simplify the study of these structures. To this end, we previously refine and concrete the known descriptions of two-graded absolute valued algebras and absolute valued triple systems, as well as characterize the fact that an absolute valued triple system is the odd part of an absolute valued two-graded algebra.</p></div>","PeriodicalId":54424,"journal":{"name":"Topology","volume":"48 2","pages":"Pages 157-168"},"PeriodicalIF":0.0000,"publicationDate":"2009-06-01","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"https://sci-hub-pdf.com/10.1016/j.top.2009.11.014","citationCount":"0","resultStr":"{\"title\":\"Homotopy methods in absolute valued structures theory\",\"authors\":\"Antonio J. Calderón Martín , Cándido Martín González\",\"doi\":\"10.1016/j.top.2009.11.014\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<div><p>We introduce homotopical techniques in the frameworks of two-graded absolute valued algebras and absolute valued triple systems, which will simplify the study of these structures. To this end, we previously refine and concrete the known descriptions of two-graded absolute valued algebras and absolute valued triple systems, as well as characterize the fact that an absolute valued triple system is the odd part of an absolute valued two-graded algebra.</p></div>\",\"PeriodicalId\":54424,\"journal\":{\"name\":\"Topology\",\"volume\":\"48 2\",\"pages\":\"Pages 157-168\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2009-06-01\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"https://sci-hub-pdf.com/10.1016/j.top.2009.11.014\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Topology\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://www.sciencedirect.com/science/article/pii/S0040938309000263\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Topology","FirstCategoryId":"1085","ListUrlMain":"https://www.sciencedirect.com/science/article/pii/S0040938309000263","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Homotopy methods in absolute valued structures theory
We introduce homotopical techniques in the frameworks of two-graded absolute valued algebras and absolute valued triple systems, which will simplify the study of these structures. To this end, we previously refine and concrete the known descriptions of two-graded absolute valued algebras and absolute valued triple systems, as well as characterize the fact that an absolute valued triple system is the odd part of an absolute valued two-graded algebra.