Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Rota-Baxter modules toward derived functors   In this paper we study Rota-Baxter modules with emphasis on the role played
by the Rota-Baxter operators and resulting difference between Rota-Baxter
modules and the usual modules over an algebra. We introduce the concepts of
free, projective, injective and flat Rota-Baxter modules. We give the
construction of free modules and show that there are enough projective,
injective and flat Rota-Baxter modules to provide the corresponding resolutions
for derived functor.

30
The categories of this paper are: q-alg
9
The categories of this paper are: nlin
12
The categories of this paper are: nucl-th
11
The categories of this paper are: hep-lat
22
The categories of this paper are: chao-dyn
32
The categories of this paper are: atom-ph
21
The categories of this paper are: adap-org
10
The categories of this paper are: q-bio
0
The categories of this paper are: hep-ph
29
The categories of this paper are: funct-an
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The categories of this paper are: dg-ga
26
The categories of this paper are: bayes-an
1
The categories of this paper are: cs
15
The categories of this paper are: nucl-ex
34
The categories of this paper are: chem-ph
31
The categories of this paper are: ao-sci