Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Stanley conjecture on intersections of four monomial prime ideals   We show that the Stanley's Conjecture holds for an intersection of four
monomial prime ideals of a polynomial algebra $S$ over a field and for an
arbitrary intersection of monomial prime ideals $(P_i)_{i\in [s]}$ of $S$ such
that $P_i\not\subset \Sigma_{1=j\not =i}^s P_j$ for all $i\in [s]$.

31
The categories of this paper are: ao-sci
26
The categories of this paper are: bayes-an
28
The categories of this paper are: alg-geom
7
The categories of this paper are: hep-th
18
The categories of this paper are: econ
15
The categories of this paper are: nucl-ex
30
The categories of this paper are: q-alg
14
The categories of this paper are: math-ph
21
The categories of this paper are: adap-org
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
35
The categories of this paper are: mtrl-th
5
The categories of this paper are: gr-qc
20
The categories of this paper are: acc-phys
37
The categories of this paper are: supr-con
19
The categories of this paper are: eess