Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: A note on twisted group rings and semilinearization   In this short note, we construct a right adjoint to the functor which
associates to a ring $R$ equipped with a group action its twisted group ring.
This right adjoint admits an interpretation as semilinearization, in that it
sends an $R$-module to the group of semilinear $R$-module automorphisms of the
module. As an immediate corollary, we provide a novel proof of the classical
observation that modules over a twisted group ring are modules over the base
ring together with a semilinear action.

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The categories of this paper are: cond-mat
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The categories of this paper are: patt-sol
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The categories of this paper are: plasm-ph
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The categories of this paper are: dg-ga
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The categories of this paper are: nucl-ex
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The categories of this paper are: comp-gas
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The categories of this paper are: astro-ph
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The categories of this paper are: mtrl-th
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The categories of this paper are: solv-int
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The categories of this paper are: econ
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The categories of this paper are: hep-th
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The categories of this paper are: ao-sci
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The categories of this paper are: hep-lat
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The categories of this paper are: hep-ph
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The categories of this paper are: physics
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The categories of this paper are: q-fin