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math.RA2021
On the Rank of Monoids of Endomorphisms of a Finite Directed Path
Vítor Hugo Fernandes, Tânia Paulista
In this paper we consider endomorphisms of a finite directed path from monoid generators perspective. Our main aim is to determine the rank of the monoid $\wEnd\vec{P}_n$ of all we…
math.RA2021
Partial Automorphisms and Injective Partial Endomorphisms of a Finite Undirected Path
Ilinka Dimitrova, Vítor H. Fernandes, Jörg Koppitz +1
In this paper, we study partial automorphisms and, more generally, injective partial endomorphisms of a finite undirected path from Semigroup Theory perspective. Our main objective…