Formations of Monoids and Saturated Formations of Groups
12/07/2016 Dept. Matemática - FCUL, 14:30, sala 6.2.33
Faculty of Sciences, University of Lisbon
When studying semigroups and monoids the nonexistence of an inverse element yields new challenges. Semigroup
theory saw a major development in the second half of the 20th century being one of its celebrated results the
Eilenberg’s Variety Theorem which relates varieties of finite monoids to varieties of formal languages. In this
seminar we present an extension of this result to formations of finite monoids and some classes of languages,
followed by an application to saturated formations of groups.