Periodic elements of the free idempotent generated semigroup on a biordered set

D. Easdown, M.V. Sapir and M.V. Volkov

Abstract

We show that every periodic element of the free idempotent generated semigroup on a biordered set belongs to a subgroup.

Keywords: semigroup, idempotents, biordered set.

AMS Subject Classification: Primary 20M05.