Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Sheaf On The Second Spectrum Of A Module   Let R be a commutative ring with identity and Specs(M) denote the set all
second submodules of an R-module M. In this paper, we construct and study a
sheaf of modules, denoted by O(N; M), on Specs(M) equipped with the dual
Zariski topology of M, where N is an R-module. We give a characterization of
the sections of the sheaf O(N; M) in terms of the ideal transform module. We
present some interrelations between algebraic properties of N and the sections
of O(N; M). We obtain some morphisms of sheaves induced by ring and module
homomorphisms.

30
The categories of this paper are: q-alg
29
The categories of this paper are: funct-an
32
The categories of this paper are: atom-ph
26
The categories of this paper are: bayes-an
9
The categories of this paper are: nlin
0
The categories of this paper are: hep-ph
11
The categories of this paper are: hep-lat
21
The categories of this paper are: adap-org
4
The categories of this paper are: cond-mat
17
The categories of this paper are: q-fin
5
The categories of this paper are: gr-qc
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The categories of this paper are: ao-sci
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The categories of this paper are: cmp-lg
3
The categories of this paper are: physics
13
The categories of this paper are: quant-ph
10
The categories of this paper are: q-bio