10 citations · 21 across the 5 of their papers we have counts for
5 papers · 1 filter
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…
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…
On relative ranks of finite transformation semigroups with restricted range
Ilinka Dimitrova, Jörg Koppitz
In this paper, we determine the relative rank of the semigroup of all transformations on a finite chain with restricted range modulo the set …
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 generators of the endomorphism semigroup of an infinite countable chain
Ilinka Dimitrova, Vítor H. Fernandes, Jörg Koppitz
In this note, we consider the semigroup of all order endomorphisms of an infinite chain and the subset of of all transformations such that .…