Geodesic
Matrix problems and integral representations
Izvestiya. Mathematics , Tome 8 (1974) no. 2, pp. 298-300.

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Given a linear matrix problem, an order is constructed whose representations are classified by the matrices of this problem. It is shown that problems about representations of partially ordered sets are included in this scheme. 
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Yu. A. Drozd; A. G. Zavadskii; V. V. Kirichenko. Matrix problems and integral representations. Izvestiya. Mathematics , Tome 8 (1974) no. 2, pp. 298-300. http://geodesic.mathdoc.fr/item/IM2_1974_8_2_a2/

[1] Nazarova L. A., Roiter A. V., “Predstavleniya chastichno uporyadochennykh mnozhestv”, Zapiski nauchn. sem. LOMI, 28, 1972, 5–31 | MR | Zbl

[2] Roggenkamp K. W., Huber-Dyson V., Lattices over orders, I, Lecture Notes in Math., 116, Springer, 1970 | MR

[3] Drozd Yu. A., “Matrichnye zadachi i kategorii matrits”, Zapiski nauchn. sem. LOMI, 28, 1972, 144–153 | MR | Zbl