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20212024
most citedOn monoids of endomorphisms of a cycle graph

1 citations · 1 across the 8 of their papers we have counts for

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8 papers

math.RA2024

On the monoid of order-preserving transformations of a finite chain whose ranges are intervals

Vítor H. Fernandes

In this note we give a presentation for the monoid of all order-preserving transformations of a -chain whose ranges are intervals. We also consider the submonoid

math.RA2024

Oriented transformations on a finite chain: another description

Vítor H. Fernandes

Following the new description of an oriented full transformation on a finite chain given recently by Higgins and Vernitski in "Orientation-preserving and orientation-reversing mapp…

math.RA2024

On partial endomorphisms of a star graph

Ilinka Dimitrova, Vítor H. Fernandes, Jörg Koppitz

In this paper we consider the monoids of all partial endomorphisms, of all partial weak endomorphisms, of all injective partial endomorphisms, of all partial strong endomorphisms a…

math.RA2024

On semigroups of orientation-preserving partial permutations with restricted range

De Biao Li, Vítor H. Fernandes

Let be a finite chain with elements , and let be the semigroup of all injective orientation-preserving partial transformations of $…

math.RA20231 cited

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…

math.RA2023

On the monoid of partial isometries of a wheel graph

Vítor H. Fernandes

In this paper, we consider the monoid of all partial isometries of a wheel graph with vertices. Our main objective is to determine the rank of . In the p…