Grassman semialgebras and the Cayley-Hamilton theorem
Rings and Algebras
2020-11-05 v3 Representation Theory
Abstract
We develop a theory of semialgebra Grassmann triples via 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.
Cite
@article{arxiv.1803.08093,
title = {Grassman semialgebras and the Cayley-Hamilton theorem},
author = {Letterio Gatto and Louis Rowen},
journal= {arXiv preprint arXiv:1803.08093},
year = {2020}
}
Comments
16 pages