Geodesic
Representations of partially ordered sets over commutative rings
Izvestiya. Mathematics , Tome 10 (1976) no. 3, pp. 497-514.

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In this work a criterion is given for the finiteness of the number of indecomposable representations of partially ordered sets over an arbitrary commutative ring. Determination of finiteness is reduced to solving a matrix problem. Bibliography: 8 titles. 
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V. V. Plakhotnik. Representations of partially ordered sets over commutative rings. Izvestiya. Mathematics , Tome 10 (1976) no. 3, pp. 497-514. http://geodesic.mathdoc.fr/item/IM2_1976_10_3_a3/

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