10 citations · 13 across the 9 of their papers we have counts for
9 papers
On monoids of endomorphisms of a cycle graph
Ilinka Dimitrova, Vítor H. Fernandes, Jörg Koppitz +1
In this paper we consider endomorphisms of an undirected cycle graph from Semigroup Theory perspective. Our main aim is to present a process to determine sets of generators with mi…
Presentations for three remarkable submonoids of the dihedral inverse monoid on a finite set
Ilinka Dimitrova, Vítor H. Fernandes, Jörg Koppitz +1
In this paper we consider the submonoids , and of the dihedral inverse monoid of all orientation-preserving,…
On three submonoids of the dihedral inverse monoid on a finite set
Ilinka Dimitrova, Vítor H. Fernandes, Jörg Koppitz +1
In this paper we consider three submonoids of the dihedral inverse monoid , namely its submonoids , and of all…
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…
Ranks and presentations of some normally ordered inverse semigroups
Rita Caneco, Vítor H. Fernandes, Teresa M. Quinteiro
In this paper we compute the rank and exhibit a presentation for the monoids of all -stable and -order preserving partial permutations on a finite set , with an ordere…
Ranks of monoids of endomorphisms of a finite undirected path
Ilinka Dimitrova, Vítor H. Fernandes, Jörg Koppitz +1
In this paper we study the widely considered endomorphisms and weak endomorphisms of a finite undirected path from monoid generators perspective. Our main aim is to determine the r…
A note on bilateral semidirect product decompositions of some monoids of order-preserving partial permutations
Vítor H. Fernandes, Teresa M. Quinteiro
In this note we consider the monoid of all monotone partial permutations on and its submonoids , and $\mathcal…
Presentations for monoids of finite partial isometries
Vítor H. Fernandes, Teresa M. Quinteiro
In this paper we give presentations for the monoid of all partial isometries on and for its submonoid of all order-preserving pa…
On semigroups of endomorphisms of a chain with restricted range
Vítor H. Fernandes, Preeyanuch Honyam, Teresa M. Quinteiro +1
Let be a finite or infinite chain and let be the monoid of all endomorphisms of . In this paper, we describe the largest regular subsemigroup of and Green's re…