Grassmann semialgebras and the Cayley-Hamilton theorem

Grassmann semialgebras and the Cayley-Hamilton theorem

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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Veröffentlicht in:Proceedings of the American Mathematical Society. Series B 2020-11, Vol.7 (16), p.183-201
Hauptverfasser: Gatto, Letterio, Rowen, Louis
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2330-1511
2330-1511
DOI:10.1090/bproc/53