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|Title:||On the Topological Semigroup of Equational Classes of Finite Functions Under Composition|
|Abstract:||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. © 2017 Old City Publishing, Inc.|
|Document Type:||Artigo em Revista Científica Internacional|
|Appears in Collections:||FCUP - Artigo em Revista Científica Internacional|
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