Geodesic
Lattice isomorphisms of free semigroups
Matematičeskie zametki, Tome 21 (1977) no. 4, pp. 459-471 Cet article a éte moissonné depuis la source Math-Net.Ru

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The following theorem is proved. Every semigroup, free in an arbitrary hypercommutative variety of semigroups, is determined by the lattice of subsemigroups in the class of all semigroups. 
@article{MZM_1977_21_4_a2,
     author = {A. Ya. Ovsyannikov},
     title = {Lattice isomorphisms of free semigroups},
     journal = {Matemati\v{c}eskie zametki},
     pages = {459--471},
     year = {1977},
     volume = {21},
     number = {4},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1977_21_4_a2/}
}
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A. Ya. Ovsyannikov. Lattice isomorphisms of free semigroups. Matematičeskie zametki, Tome 21 (1977) no. 4, pp. 459-471. http://geodesic.mathdoc.fr/item/MZM_1977_21_4_a2/