Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Coefficient fields and scalar extension in positive characteristic   Let k be a perfect field of positive characteristic, k(t)_{per} the perfect
closure of k(t) and A=k[[X_1,...,X_n]]. We show that for any maximal ideal N of
A'=k(t)_{per}\otimes_k A, the elements in \hat{A'_N} which are annihilated by
the "Taylor" Hasse-Schmidt derivations with respect to the X_i form a
coefficient field of \hat{A'_N}.

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The categories of this paper are: bayes-an
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The categories of this paper are: dg-ga
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The categories of this paper are: math-ph
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The categories of this paper are: comp-gas
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The categories of this paper are: chao-dyn
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The categories of this paper are: nucl-ex
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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: quant-ph
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The categories of this paper are: patt-sol
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The categories of this paper are: cmp-lg
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The categories of this paper are: astro-ph
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The categories of this paper are: physics
0
The categories of this paper are: hep-ph
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The categories of this paper are: funct-an
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The categories of this paper are: chem-ph