Geodesic
Multiplicative isomorphisms of incidence semialgebras
Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 4, pp. 1245-1250.

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper suggests a proof of the fact that every semiring with orthogonal family of idempotents is a UA-semiring. The problem of uniqueness of addition in the class of incidence semialgebras is solved. 
@article{FPM_1999_5_4_a17,
     author = {I. I. Artamonova},
     title = {Multiplicative isomorphisms of incidence semialgebras},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {1245--1250},
     publisher = {mathdoc},
     volume = {5},
     number = {4},
     year = {1999},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_1999_5_4_a17/}
}
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I. I. Artamonova. Multiplicative isomorphisms of incidence semialgebras. Fundamentalʹnaâ i prikladnaâ matematika, Tome 5 (1999) no. 4, pp. 1245-1250. http://geodesic.mathdoc.fr/item/FPM_1999_5_4_a17/