Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: W-Jaffard domains in pullbacks   In this paper we study the class of $w$-Jaffard domains in pullback
constructions, and give new examples of these domains. In particular we give
examples to show that the two classes of $w$-Jaffard and Jaffard domains are
incomparable. As another application, we establish that for each pair of
positive integers $(n,m)$ with $n+1\leq m\leq 2n+1$, there is an (integrally
closed) integral domain $R$ such that $w$-$\dim(R)=n$ and
$w[X]$-$\dim(R[X])=m$.

9
The categories of this paper are: nlin
4
The categories of this paper are: cond-mat
19
The categories of this paper are: eess
34
The categories of this paper are: chem-ph
6
The categories of this paper are: astro-ph
23
The categories of this paper are: solv-int
17
The categories of this paper are: q-fin
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
25
The categories of this paper are: patt-sol
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
10
The categories of this paper are: q-bio
24
The categories of this paper are: dg-ga
30
The categories of this paper are: q-alg
22
The categories of this paper are: chao-dyn