Geodesic
Groups of quotients of semigroups of invertible nonnegative matrices over skewfields
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 1, pp. 57-64

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In this paper we prove that for a linearly ordered skewfield the groups of quotients of the semigroup $\mathrm G_n(\mathbb D)$ coincides with the group $\mathrm{GL}_n(\mathbb D)$ for $n \geq 3$. 
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     author = {E. I. Bunina and A. V. Mikhalev and V. V. Nemiro},
     title = {Groups of quotients of semigroups of invertible nonnegative matrices over skewfields},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
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     number = {1},
     year = {2016},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2016_21_1_a4/}
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E. I. Bunina; A. V. Mikhalev; V. V. Nemiro. Groups of quotients of semigroups of invertible nonnegative matrices over skewfields. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 1, pp. 57-64. http://geodesic.mathdoc.fr/item/FPM_2016_21_1_a4/