Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A Dual Zariski Topology for Modules   We introduce a dual Zariski topology on the spectrum of fully coprime
$R$-submodules of a given duo module $M$ over an associative (not necessarily
commutative) ring $R$. This topology is defined in a way dual to that of
defining the Zariski topology on the prime spectrum of $R$. We investigate this
topology and clarify the interplay between the properties of this space and the
algebraic properties of the module under consideration.

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The categories of this paper are: plasm-ph
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The categories of this paper are: quant-ph
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The categories of this paper are: hep-th
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The categories of this paper are: atom-ph
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The categories of this paper are: gr-qc
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The categories of this paper are: q-alg
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The categories of this paper are: acc-phys
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The categories of this paper are: mtrl-th
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The categories of this paper are: stat
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The categories of this paper are: econ
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The categories of this paper are: patt-sol
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The categories of this paper are: hep-ex
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The categories of this paper are: q-fin
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The categories of this paper are: eess
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The categories of this paper are: math-ph
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The categories of this paper are: cond-mat