Geodesic
Definite systems of linear equations over rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 4, pp. 1307-1313

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Criterions of definitiveness and compatibility with any right part for systems of linear equations over right Artinian and quasi-Frobenius rings are obtained. 
@article{FPM_1998_4_4_a9,
     author = {V. P. Elizarov},
     title = {Definite systems of linear equations over rings},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {1307--1313},
     publisher = {mathdoc},
     volume = {4},
     number = {4},
     year = {1998},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a9/}
}
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V. P. Elizarov. Definite systems of linear equations over rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 4 (1998) no. 4, pp. 1307-1313. http://geodesic.mathdoc.fr/item/FPM_1998_4_4_a9/