Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Maximal non valuative domains   The notion of maximal non valuative domain is introduced and characterized.
An integral domain R is called a maximal non valuative domain if R is not a
valuative domain but every proper overring of R is a valuative domain. Maximal
non valuative domains have at most four maximal ideals. Various properties of
maximal non valuative domains are discussed. Conditions are given under which
pseudo-valuation domains and maximal non pseudo-valuation domains are maximal
non valuative domains.

9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
3
The categories of this paper are: physics
18
The categories of this paper are: econ
1
The categories of this paper are: cs
5
The categories of this paper are: gr-qc
7
The categories of this paper are: hep-th
19
The categories of this paper are: eess
12
The categories of this paper are: nucl-th
8
The categories of this paper are: hep-ex
13
The categories of this paper are: quant-ph
22
The categories of this paper are: chao-dyn
28
The categories of this paper are: alg-geom
33
The categories of this paper are: plasm-ph
21
The categories of this paper are: adap-org