Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Integral Galois Module Structure for Elementary Abelian Extensions with
  a Galois Scaffold   This paper justifies an assertion in
  (Elder, Proc AMS 137 (2009), no 4, 1193--1203) that Galois scaffolds make the
questions of Galois module structure tractable. Let $k$ be a perfect field of
characteristic $p$ and let $K=k((T))$. For the class of characteristic $p$
elementary abelian $p$-extensions $L/K$ with Galois scaffolds described in
mentioned paper, we give a necessary and sufficient condition for the valuation
ring $\mathfrak{O}_L$ to be free over its associated order $\mathcal{A}_{L/K}$
in $K[\Gal(L/K)]$. Interestingly, this condition agrees with the condition
found by Y. Miyata, concerning a class of cyclic Kummer extensions in
characteristic zero.

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The categories of this paper are: acc-phys
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The categories of this paper are: bayes-an
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The categories of this paper are: chem-ph
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The categories of this paper are: chao-dyn
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The categories of this paper are: hep-ph
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The categories of this paper are: stat
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The categories of this paper are: mtrl-th
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The categories of this paper are: funct-an
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The categories of this paper are: econ
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The categories of this paper are: atom-ph
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The categories of this paper are: nlin
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The categories of this paper are: dg-ga
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The categories of this paper are: cond-mat
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The categories of this paper are: cs
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas