Geodesic
On classes of solvable rings
Matematičeskie voprosy kriptografii, Tome 1 (2010) no. 3, pp. 19-26 Cet article a éte moissonné depuis la source Math-Net.Ru

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We describe the class of all rings such that a system of left linear systems of equations over the ring is solvable iff this system is compatible with respect to the right group ideals. 
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V. P. Elizarov. On classes of solvable rings. Matematičeskie voprosy kriptografii, Tome 1 (2010) no. 3, pp. 19-26. http://geodesic.mathdoc.fr/item/MVK_2010_1_3_a1/

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