Finite semigroups that are minimal for not being Malcev nilpotent

Abstract

We give a description of finite semigroups $S$ that are minimal for not being Malcev nilpotent, i.e. every proper subsemigroup and every proper Rees factor semigroup is Malcev nilpotent but $S$ is not. For groups this question was considered by Schmidt.

21 pages

References in corpus (1)

• A description of a class of finite semigroups that are near to being Malcev nilpotent

Cited by in corpus (3)

• Nilpotency and strong nilpotency for finite semigroups
• The rank of variants of nilpotent pseudovarieties
• The congruence ${\eta }^{\ast }$ on semigroups