|Title||On the topological semigroup of equational classes of finite functions under composition|
|Publication Type||Articles in international peer reviewed journals|
|Year of Publication||2017|
|Authors||Almeida J, Couceiro M., Waldhauser T.|
|Journal||J. of Mult.-Valued Logic & Soft Computing|
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.