On the topological semigroup of equational classes of finite functions under composition
Almeida, Jorge ; Couceiro, Miguel ; Waldhauser, Tamas
HAL, hal-01090645 / Harvested from HAL
Text on HAL
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 under-standing 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.
Publié le : 2017-07-04
Classification:  [MATH]Mathematics [math] 
@article{hal-01090645,
     author = {Almeida, Jorge and Couceiro, Miguel and Waldhauser, Tamas},
     title = {On the topological semigroup of equational classes of finite functions under composition},
     journal = {HAL},
     volume = {2017},
     number = {0},
     year = {2017},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-01090645}
}

Almeida, Jorge; Couceiro, Miguel; Waldhauser, Tamas. On the topological semigroup of equational classes of finite functions under composition. HAL, Tome 2017 (2017) no. 0, . http://gdmltest.u-ga.fr/item/hal-01090645/