Archivio Istituzionale della RicercaWe develop a theory of Grassmann semialgebra triples using Hasse-Schmidt derivations, which formally generalizes results such as the Cayley-Hamilton theorem in linear algebra, thereby providing a unified approach to classical linear algebra and tropical algebra.
Grassmann semialgebras and the Cayley-Hamilton theorem / Gatto, Letterio; Rowen, Louis. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. SERIES B. - ISSN 2330-1511. - 7:16(2020), pp. 183-201. [10.1090/bproc/53]
Grassmann semialgebras and the Cayley-Hamilton theorem
Gatto, Letterio;
2020
Abstract
We develop a theory of Grassmann semialgebra triples using Hasse-Schmidt derivations, which formally generalizes results such as the Cayley-Hamilton theorem in linear algebra, thereby providing a unified approach to classical linear algebra and tropical algebra.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
2020_Grassmann semialgebras and the Cayley-Hamilton theorem.pdf
accesso aperto
Tipologia:
2a Post-print versione editoriale / Version of Record
Licenza:
Creative commons
Dimensione
283.66 kB
Formato
Adobe PDF
|
283.66 kB | Adobe PDF | Visualizza/Apri |
Pubblicazioni consigliate
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
Utilizza questo identificativo per citare o creare un link a questo documento:
https://hdl.handle.net/11583/2996250