Finite semigroups that are minimal for not being Malcev nilpotent
11/04/2014 Sextafeira, 11 de Abril de 2014, 15h30m, Sala B201
M. Hossein Shahzamanian C. (Centro de Matemática da Universidade do Porto)
Institute for Interdisciplinary Research  University of Lisbon
Malcev and independently Neumann and Taylor have shown that nilpotent groups can be defined by using semigroup identities, This leads to the notion of a nilpotent semigroup (in the sense of Malcev). In this talk finite semigroups that are
close to being nilpotent will be investigated. Obviously every finite semigroup that is not nilpotent has a subsemigroup that is minimal for not being nilpotent, i.e. every proper subsemigroup and every Rees factor semigroup is nilpotent. It is called a minimal nonnilpotent semigroup.
