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The maximal subsemigroups of the ideals on a monoid of partial injections
Apatsara Sareeto, Jörg Koppitz
In the present paper, a submonoid of the well studied monoid of all order-preserving partial injections on an -element chain is studied. The set of all par…
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…
A presentation for a submonoid of the symmetric inverse monoid
Apatsara Sareeto, Jörg Koppitz
A fully invarient congruence relations on the free algebra on a given type induces a variety of the given type. In contrast, a congruence relation of the free algebra provides alge…
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…