Geodesic
Tangent space to Milnor $K$-groups of rings
Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 34-42

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We prove that the tangent space to the $(n+1)$th Milnor $K$-group of a ring $R$ is isomorphic to the group of $n$th absolute Kähler differentials of $R$ when the ring $R$ contains $1/2$ and has sufficiently many invertible elements. More precisely, the latter condition means that $R$ is weakly $5$-fold stable in the sense of Morrow. 
@article{TM_2015_290_a2,
     author = {S. O. Gorchinskiy and D. V. Osipov},
     title = {Tangent space to {Milnor} $K$-groups of rings},
     journal = {Trudy Matematicheskogo Instituta imeni V.A. Steklova},
     pages = {34--42},
     publisher = {mathdoc},
     volume = {290},
     year = {2015},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TM_2015_290_a2/}
}
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S. O. Gorchinskiy; D. V. Osipov. Tangent space to Milnor $K$-groups of rings. Trudy Matematicheskogo Instituta imeni V.A. Steklova, Modern problems of mathematics, mechanics, and mathematical physics, Tome 290 (2015), pp. 34-42. http://geodesic.mathdoc.fr/item/TM_2015_290_a2/