Geodesic
Problems of Burnside type and the finite basis property in varieties of semigroups
Izvestiya. Mathematics , Tome 30 (1988) no. 2, pp. 295-314.

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Algorithms are found that determine, for a finite set of identities (balanced identities), whether every nil-semigroup (periodic semigorup) satisfying them is locally finite. A number of results on finitely based semigroup varieties are obtained as corollaries. Bibliography: 34 titles. 
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M. V. Sapir. Problems of Burnside type and the finite basis property in varieties of semigroups. Izvestiya. Mathematics , Tome 30 (1988) no. 2, pp. 295-314. http://geodesic.mathdoc.fr/item/IM2_1988_30_2_a5/

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