On the Topological Semigroup of Equational Classes of Finite Functions Under Composition

• Autor(es): Almeida, J ; Couceiro, Miguel ; Waldhauser, Tamas
• Data: 2017
• Identificador Persistente: https://hdl.handle.net/10216/107417
• Origem: Repositório Aberto da Universidade do Porto
• Tipo de Documento: Artigo científico
• Idioma: Inglês

Descrição

We consider the set of equational classes of finite functions endowed with the operation of class composition. Thus defined, this set gains a semigroup structure. This paper is a contribution to the understanding of this semigroup. We present several interesting properties of this semigroup. In particular, we show that it constitutes a topological semigroup that is profinite and we provide a description of its regular elements in the Boolean case.