Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A relationship between 2-primal modules and modules that satisfy the
  radical formula   The coincidence of the set of all nilpotent elements of a ring with its prime
radical has a module analogue which occurs when the zero submodule satisfies
the radical formula. A ring $R$ is 2-primal if the set of all nilpotent
elements of $R$ coincides with its prime radical. This fact motivates our study
in this paper, namely, to compare 2-primal submodules and submodules that
satisfy the radical formula. A demonstration of the importance of 2-primal
modules in bridging the gap between modules over commutative rings and modules
over noncommutative rings is done and new examples of rings and modules that
satisfy the radical formula are also given.

13
The categories of this paper are: quant-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: comp-gas
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The categories of this paper are: supr-con
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The categories of this paper are: math-ph
17
The categories of this paper are: q-fin
0
The categories of this paper are: hep-ph
28
The categories of this paper are: alg-geom
29
The categories of this paper are: funct-an
5
The categories of this paper are: gr-qc
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The categories of this paper are: chao-dyn
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The categories of this paper are: cs
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The categories of this paper are: hep-lat
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The categories of this paper are: bayes-an
4
The categories of this paper are: cond-mat
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The categories of this paper are: acc-phys