Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Note on Formulas Transmuting Mixed Multiplicities   This paper establishes mixed multiplicity formulas concerning the
relationship between mixed multiplicities of modules and mixed multiplicities
of rings via rank of modules.

16
The categories of this paper are: stat
27
The categories of this paper are: comp-gas
36
The categories of this paper are: cmp-lg
32
The categories of this paper are: atom-ph
30
The categories of this paper are: q-alg
15
The categories of this paper are: nucl-ex
21
The categories of this paper are: adap-org
20
The categories of this paper are: acc-phys
6
The categories of this paper are: astro-ph
13
The categories of this paper are: quant-ph
24
The categories of this paper are: dg-ga
11
The categories of this paper are: hep-lat
19
The categories of this paper are: eess
33
The categories of this paper are: plasm-ph
7
The categories of this paper are: hep-th
29
The categories of this paper are: funct-an