Geodesic
Isomorphisms of groups of invertible elements of incidence algebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 2, pp. 257-261.

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This paper shows that isomorphisms of groups of invertible elements of incidence algebras imply isomorphisms of the partial orders defining the algebras. 
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V. D. Shmatkov. Isomorphisms of groups of invertible elements of incidence algebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 21 (2016) no. 2, pp. 257-261. http://geodesic.mathdoc.fr/item/FPM_2016_21_2_a12/

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