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Problems of Burnside type and the finite basis property in varieties of semigroups

M. V. Sapir


Abstract: 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.

UDC: 512.513

MSC: Primary 20M07; Secondary 20M99

Received: 29.11.1984

 English version: Mathematics of the USSR-Izvestiya, 1988, 30:2, 295–314

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