Geodesic
The problem of solvability of equations in a free semigroup
Sbornik. Mathematics, Tome 32 (1977) no. 2, pp. 129-198 Cet article a éte moissonné depuis la source Math-Net.Ru

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In this paper we construct an algorithm recognizing the solvability of arbitrary equations in a free semigroup. Bibliography: 4 titles. 
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G. S. Makanin. The problem of solvability of equations in a free semigroup. Sbornik. Mathematics, Tome 32 (1977) no. 2, pp. 129-198. http://geodesic.mathdoc.fr/item/SM_1977_32_2_a0/

[1] Yu. I. Khmelevskii, Uravneniya v svobodnoi polugruppe, Trudy Matem. in-ta im V. A. Steklova, CVII, 1971

[2] V. K. Bulitko, “Ob uravneniyakh i neravenstvakh v svobodnoi gruppe i v svobodnoi polugruppe”, Uchenye zapiski matem. kafedr, no. 2, Tulskii gos. ped. in-t, 1970, 242–253 | MR

[3] S. I. Adyan, Problema Bernsaida i tozhdestva v gruppakh, izd-vo «Nauka», Moskva, 1975 | MR

[4] Yu. L. Ershov, I. A. Lavrov, A. D. Taimanov, M. A. Taitslin, “Elementarnye teorii”, Uspekhi matem. nauk, XX:4 (124) (1965), 37–108