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.

Grassmann semialgebras and the Cayley-Hamilton theorem / Gatto, Letterio; Rowen, Louis. - In: PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY. SERIES B. - ISSN 2330-1511. - ELETTRONICO. - 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.
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/11583/2860222