Geodesic
The restricted Burnside problem for varieties of semigroups
Izvestiya. Mathematics , Tome 38 (1992) no. 3, pp. 659-667.

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An algorithm is found that decides, for an arbitrary system of semigroup identities, whether the orders of the finite semigroups satisfying the system are bounded by a function (or a recursive function) of the number of generators. 
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M. V. Sapir. The restricted Burnside problem for varieties of semigroups. Izvestiya. Mathematics , Tome 38 (1992) no. 3, pp. 659-667. http://geodesic.mathdoc.fr/item/IM2_1992_38_3_a11/

[1] Kostrikin A. I., Vokrug Bernsaida, Nauka, M., 1986, 232 pp. | MR

[2] Zelmanov E. I., “Reshenie oslablennoi problemy Bernsaida dlya grupp nechetnogo pokazatelya”, Izv. AN SSSR. Ser. matem., 54:1 (1990), 42–59 | MR

[3] Hall P., Higman G., “On the $p$-length of $p$-soluble groups and reduction theorems for Burnside's problem”, Proc. London Math. Soc., 6:3 (1956), 1–42 | DOI | MR | Zbl

[4] Ashbakher M., “Konechnye prostye gruppy i ikh klassifikatsiya”, UMN, 36:2 (1981), 141–172 | MR

[5] Gorenshtein D., Konechnye prostye gruppy. Vvedenie v ikh klassifikatsiyu, Mir, M., 1985, 352 pp. | MR

[6] Sukhanov E. V., “O zamknutosti polugruppovykh mnogoobrazii otnositelno kommutativnykh svyazok”, Issledovaniya po sovremennoi algebre, Sverdlovsk, 1979, 180–188 | MR | Zbl

[7] Adyan S. I., Razborov A. A., “Periodicheskie gruppy i algebry Li”, UMN, 42:2 (1987), 3–68 | MR | Zbl

[8] Sapir M. V., “Problemy bernsaidovskogo tipa i konechnaya baziruemost v mnogoobraziyakh polugrupp”, Izv. AN SSSR. Ser. matem., 51:2 (1987), 319–340 | MR | Zbl

[9] Shevrin L. N., Sukhanov E. V., “Strukturnye aspekty teorii mnogoobrazii polugrupp”, Izv. vuzov. Matematika, 1989, no. 6, 3–39 | MR | Zbl

[10] Kourovskaya tetrad, Izd. 2, Novosibirsk, 1967

[11] Rhodes J., “New techniques in global semigroup theory”, Semigroups and their applications, eds. S. M. Goberstein, P. M. Higgins, D. Reidel Publishing Company, Dordrecht, 1987, 169–181 | MR

[12] Albert D., Rhodes J., Undecidability of the identity problem for finite semigroups with applications, Preprint, 1986

[13] Golubov L. A., “Finitnaya otdelimost v polugruppakh”, Sib. matem. zhurn., 11:6 (1970), 1247–1263 | MR | Zbl

[14] Klifford A., Preston G., Algebraicheskaya teoriya polugrupp, t. 1, Mir, M., 1972 | Zbl

[15] Shevrin L. N., “O razlozhenii kvaziperiodicheskoi polugruppy v svyazku arkhimedovykh polugrupp”, 14-ya Vsesoyuzn. algebr, konf. Tezisy dokl., Novosibirsk, 1977, 144