Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: Tangent space to Milnor $K$-groups of rings   We prove that the tangent space to the $(n+1)$-th Milnor $K$-group of a ring
$R$ is isomorphic to group of $n$-th absolute K\"ahler differentials of $R$
when the ring $R$ contains $\frac{1}{2}$ and has sufficiently many invertible
elements. More precisely, the latter condition is that $R$ is weakly $5$-fold
stable in the sense of Morrow.

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The categories of this paper are: hep-lat
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The categories of this paper are: q-bio
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The categories of this paper are: adap-org
37
The categories of this paper are: supr-con
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The categories of this paper are: ao-sci
30
The categories of this paper are: q-alg
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The categories of this paper are: hep-th
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The categories of this paper are: bayes-an
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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: astro-ph
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The categories of this paper are: funct-an
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The categories of this paper are: patt-sol
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The categories of this paper are: alg-geom
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The categories of this paper are: cmp-lg
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The categories of this paper are: eess