Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Representations of weakly multiplicative arithmetic matroids are unique   An arithmetic matroid is weakly multiplicative if the multiplicity of at
least one of its bases is equal to the product of the multiplicities of its
elements. We show that if such an arithmetic matroid can be represented by an
integer matrix, then this matrix is uniquely determined. This implies that the
integer cohomology ring of a centred toric arrangement whose arithmetic matroid
is weakly multiplicative is determined by its poset of layers. This partially
answers a question asked by Callegaro-Delucchi.

16
The categories of this paper are: stat
11
The categories of this paper are: hep-lat
20
The categories of this paper are: acc-phys
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
0
The categories of this paper are: hep-ph
32
The categories of this paper are: atom-ph
1
The categories of this paper are: cs
13
The categories of this paper are: quant-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
36
The categories of this paper are: cmp-lg
8
The categories of this paper are: hep-ex
5
The categories of this paper are: gr-qc
30
The categories of this paper are: q-alg
17
The categories of this paper are: q-fin