Vol. 42, No. 3, 1972

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On nilpotency and residual finiteness in semigroups

Gérard Lallement

Vol. 42 (1972), No. 3, 693–700
Abstract

It is proved that the class 𝒞 of regular nilpotent semigroups coincides with the class of semilattices of nilpotent groups. Consequently, finitely generated semigroups in the class 𝒞 are residually finite. The same results are true for semisimple 2-nilpotent semigroups.

Mathematical Subject Classification 2000
Primary: 20M05
Secondary: 20E25
Milestones
Received: 22 April 1971
Revised: 7 June 1972
Published: 1 September 1972
Authors
Gérard Lallement