Geodesic
Elementary equivalence of incidence rings over semi-perfect rings
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 8, pp. 37-48

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In this paper, we prove that if two incidence rings constructed by the same semiperfect ring and some two quasi-ordered sets are elementarily equivalent, then the given sets are elementarily equivalent. 
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     title = {Elementary equivalence of incidence rings over semi-perfect rings},
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E. I. Bunina; A. S. Dobrokhotova-Maykova. Elementary equivalence of incidence rings over semi-perfect rings. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 8, pp. 37-48. http://geodesic.mathdoc.fr/item/FPM_2010_16_8_a3/