{"title":"Grassmann半代数和Cayley-Hamilton定理","authors":"Letterio Gatto, L. Rowen","doi":"10.1090/bproc/53","DOIUrl":null,"url":null,"abstract":"We develop a theory of Grassmann semialgebra triples using HasseSchmidt derivations, which formally generalizes results such as the CayleyHamilton theorem in linear algebra, thereby providing a unified approach to classical linear algebra and tropical algebra.","PeriodicalId":106316,"journal":{"name":"Proceedings of the American Mathematical Society, Series B","volume":"13 1","pages":"0"},"PeriodicalIF":0.0000,"publicationDate":"2020-11-25","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"16","resultStr":"{\"title\":\"Grassmann semialgebras and the Cayley-Hamilton theorem\",\"authors\":\"Letterio Gatto, L. Rowen\",\"doi\":\"10.1090/bproc/53\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"We develop a theory of Grassmann semialgebra triples using HasseSchmidt derivations, which formally generalizes results such as the CayleyHamilton theorem in linear algebra, thereby providing a unified approach to classical linear algebra and tropical algebra.\",\"PeriodicalId\":106316,\"journal\":{\"name\":\"Proceedings of the American Mathematical Society, Series B\",\"volume\":\"13 1\",\"pages\":\"0\"},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2020-11-25\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"16\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Proceedings of the American Mathematical Society, Series B\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1090/bproc/53\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Proceedings of the American Mathematical Society, Series B","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1090/bproc/53","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}
Grassmann semialgebras and the Cayley-Hamilton theorem
We develop a theory of Grassmann semialgebra triples using HasseSchmidt derivations, which formally generalizes results such as the CayleyHamilton theorem in linear algebra, thereby providing a unified approach to classical linear algebra and tropical algebra.
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