Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Grassman semialgebras and the Cayley-Hamilton theorem   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.

9
The categories of this paper are: nlin
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
13
The categories of this paper are: quant-ph
14
The categories of this paper are: math-ph
27
The categories of this paper are: comp-gas
7
The categories of this paper are: hep-th
36
The categories of this paper are: cmp-lg
29
The categories of this paper are: funct-an
8
The categories of this paper are: hep-ex
32
The categories of this paper are: atom-ph
17
The categories of this paper are: q-fin
20
The categories of this paper are: acc-phys
16
The categories of this paper are: stat
28
The categories of this paper are: alg-geom
24
The categories of this paper are: dg-ga