Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The Zariski topology-graph on the maximal spectrum of modules over
  commutative rings   Let M be a module over a commutative ring and let Spec(M) (resp. Max(M)) be
the collection of all prime (resp. maximal) submodules of M. We topologize
Spec(M) with Zariski topology, which is analogous to that for Spec(R), and
consider Max(M) as the induced subspace topology. For any non-empty subset T of
Max(M), we introduce a new graph G(\tau^{m}_{T})called the Zariski
topology-graph on the maximal spectrum of M. This graph helps us to study the
algebraic (resp. topological) properties of M (resp. Max(M)) by using the graph
theoretical tools.

37
The categories of this paper are: supr-con
15
The categories of this paper are: nucl-ex
29
The categories of this paper are: funct-an
30
The categories of this paper are: q-alg
26
The categories of this paper are: bayes-an
36
The categories of this paper are: cmp-lg
27
The categories of this paper are: comp-gas
3
The categories of this paper are: physics
35
The categories of this paper are: mtrl-th
18
The categories of this paper are: econ
7
The categories of this paper are: hep-th
0
The categories of this paper are: hep-ph
5
The categories of this paper are: gr-qc
4
The categories of this paper are: cond-mat
12
The categories of this paper are: nucl-th
17
The categories of this paper are: q-fin