Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Ideals of Adjacent Minors   We give a description of the minimal primes of the ideal generated by the 2 x
2 adjacent minors of a generic matrix. We also compute the complete prime
decomposition of the ideal of adjacent m x m minors of an m x n generic matrix
when the characteristic of the ground field is zero. A key intermediate result
is the proof that the ideals which appear as minimal primes are, in fact, prime
ideals. This introduces a large new class of mixed determinantal ideals that
are prime.

27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
20
The categories of this paper are: acc-phys
17
The categories of this paper are: q-fin
34
The categories of this paper are: chem-ph
7
The categories of this paper are: hep-th
9
The categories of this paper are: nlin
10
The categories of this paper are: q-bio
11
The categories of this paper are: hep-lat
15
The categories of this paper are: nucl-ex
31
The categories of this paper are: ao-sci
5
The categories of this paper are: gr-qc
16
The categories of this paper are: stat
14
The categories of this paper are: math-ph
8
The categories of this paper are: hep-ex
23
The categories of this paper are: solv-int