Finite semigroups that are minimal for not being Malcev nilpotent
Eric Jespers, M. H. Shahzamanian · Journal of Algebra and Its Applications · 2014
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.