Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The minimal components of the Mayr-Meyer ideals   Mayr and Meyer found ideals $J(n,d)$ (in a polynomial ring in $10n+2$
variables over a field $k$ and generators of degree at most $d+2$) with ideal
membership property which is doubly exponential in $n$. This paper is a first
step in understanding the primary decomposition of these ideals: it is proved
here that $J(n,d)$ has $nd^2 + 20$ minimal prime ideals. Also, all the minimal
components are computed, and the intersection of the minimal components as
well.

29
The categories of this paper are: funct-an
34
The categories of this paper are: chem-ph
9
The categories of this paper are: nlin
6
The categories of this paper are: astro-ph
18
The categories of this paper are: econ
4
The categories of this paper are: cond-mat
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
35
The categories of this paper are: mtrl-th
15
The categories of this paper are: nucl-ex
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The categories of this paper are: cmp-lg
10
The categories of this paper are: q-bio
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The categories of this paper are: ao-sci
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The categories of this paper are: dg-ga
5
The categories of this paper are: gr-qc
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The categories of this paper are: supr-con