Grassmann semialgebras and the Cayley-Hamilton theorem

Gatto, Letterio; Rowen, Louis

doi:10.1090/bproc/53

Grassmann semialgebras and the Cayley-Hamilton theorem
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by Letterio Gatto and Louis Rowen HTML | PDF

Proc. Amer. Math. Soc. Ser. B 7 (2020), 183-201

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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