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Regular semigroups of polynomial growth. (Russian) Zbl 0695.20034
Let S be a finitely generated inverse semigroup. It is shown that S has polynomial growth if S is almost nilpotent (in the sense of Mal’cev). It is also proved that for having polynomial growth S must not be almost nilpotent, but this is the case if the semigroup of its idempotents has zero.
Reviewer: V.Ufnarovskij

MSC:
20M05 Free semigroups, generators and relations, word problems
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