Regular semigroups of polynomial growth. (Russian) Zbl 0695.20034

Meleshkin, A. V.

Mat. Zametki 47, No. 2, 58-64 (1990).

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

Keywords:

finitely generated inverse semigroup; polynomial growth; almost nilpotent; idempotents