On nilpotency and residual finiteness in semigroups
On nilpotency and residual finiteness in semigroups
It is proved that the class c έ? of regular nilpotent semigroups coincides with the class of semilattices of nilpotent groups.Consequently, finitely generated semigroups in the class ^ are residually finite.The same results are true for semisimple 2-nilpotent semigroups.1* Introduction* For semigroups defined in terms of generators and relations, the …