I. Dimitrova

activity

20152026

most citedOn the semigroup of all partial fence-preserving injections on a finite set

13 citations · 41 across the 16 of their papers we have counts for

collaborators

Showing 2021Show all

3 papers · 1 filter

math.RA2021★ 13 cited

On the semigroup of all partial fence-preserving injections on a finite set

Ilinka Dimitrova, Jörg Koppitz

For $n \in N$ , let $X_{n} = {a_{1}, a_{2}, \dots, a_{n}}$ be an $n$ - element set and let $F = (X_{n}; <_{f})$ be a fence, also called a zigzag poset. As usual, we denote…

math.RA2021★ 2 cited

On relative ranks of the semigroup of orientation-preserving transformations on infinite chain with restricted range

Ilinka Dimitrova, Jörg Koppitz

Let $X$ be an infinite linearly ordered set and let $Y$ be a nonempty subset of $X$ . We calculate the relative rank of the semigroup $O P (X, Y)$ of all orientation-preserving transfo…

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…