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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     author = {M. V. Sapir},
     title = {The restricted {Burnside} problem for varieties of semigroups},
     journal = {Izvestiya. Mathematics },
     pages = {659--667},
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     volume = {38},
     number = {3},
     year = {1992},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/IM2_1992_38_3_a11/}
}
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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/