Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: On the radical of multigraded modules   We define a functor $\rr^\ast$ from the category of positively determined
modules to the category of squarefree modules which plays the role of passing
from a monomial ideal to its radical. By using this functor, we generalize
several results on properties that are shared by a monomial ideal and its
radical. Moreover, we study the connection of $\rr^\ast$ to the Alexander
duality and Auslander-Reiten translate functor.

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The categories of this paper are: chao-dyn
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The categories of this paper are: atom-ph
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The categories of this paper are: stat
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The categories of this paper are: solv-int
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The categories of this paper are: comp-gas
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The categories of this paper are: nucl-th
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The categories of this paper are: hep-ex
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The categories of this paper are: q-bio
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The categories of this paper are: econ
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The categories of this paper are: adap-org
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The categories of this paper are: math-ph
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The categories of this paper are: q-fin
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The categories of this paper are: supr-con
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The categories of this paper are: eess
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The categories of this paper are: nucl-ex
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The categories of this paper are: dg-ga