Geodesic
Solvable and locally closed modules and rings
Diskretnaya Matematika, Tome 18 (2006) no. 1, pp. 30-39.

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We describe the classes of all modules and all rings such that any system of linear equations over them is solvable if and only if it is concordant with linear relations.The research was supported by the program of the President of Russian Federation for support of leading scientific schools, grant 2358.2003.9. 
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V. P. Elizarov. Solvable and locally closed modules and rings. Diskretnaya Matematika, Tome 18 (2006) no. 1, pp. 30-39. http://geodesic.mathdoc.fr/item/DM_2006_18_1_a2/

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