Seminários de Álgebra
M. Hossein Shahzamanian C. (Centro de Matemática da Universidade do Porto)
11/04/2014 11 de Abril de 2014, 15h30m, Sala B2-01  
Instituto para a Investigação Interdisciplinar da Universidade de Lisboa
Finite semigroups that are minimal for not being Malcev nilpotent
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 non-nilpotent semigroup.
 
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