Geodesic
Stable decomposability of matrices over the rational closure of a~group algebra of an ordered group
Sbornik. Mathematics, Tome 211 (2020) no. 9, pp. 1213-1232

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Under the assumption that the rational closure of a group algebra of a left-ordered group in the ring of operators of the module of formal Malcev series is a division ring, we find a canonical form of nonsingular matrices of this division ring. Bibliography: 10 titles.
Keywords: right-ordered groups, division ring of fractions, formal series. 
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N. I. Dubrovin. Stable decomposability of matrices over the rational closure of a~group algebra of an ordered group. Sbornik. Mathematics, Tome 211 (2020) no. 9, pp. 1213-1232. http://geodesic.mathdoc.fr/item/SM_2020_211_9_a0/