Geodesic
Two remarks on commutative semigroups isomorphism
Algebra i logika, Tome 6 (1967) no. 1, pp. 95-110 
M. A. Taǐclin. Two remarks on commutative semigroups isomorphism. Algebra i logika, Tome 6 (1967) no. 1, pp. 95-110. http://geodesic.mathdoc.fr/item/AL_1967_6_1_a9/
@article{AL_1967_6_1_a9,
     author = {M. A. Taǐclin},
     title = {Two remarks on commutative semigroups isomorphism},
     journal = {Algebra i logika},
     pages = {95--110},
     year = {1967},
     volume = {6},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/AL_1967_6_1_a9/}
}
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Voir la notice de l'article provenant de la source Math-Net.Ru

The isomorphism problem is solved for the commutative semigroups with 5 generators. Each finitely generated commutative semigroup $A$ is related to a finite projective class of commutative semigroups. Any finite generated commutative semigroup is isomorphic to semigroup $A$ if and only if it belongs to this finite projective class.