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

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Showing math.RAShow all

17 papers · 1 filter

math.RA2026

On the semigroups of fence-decreasing and fence-preserving transformations on a finite fence

Gonca Ayık, Hayrullah Ayık, Ilinka Dimitrova +1

For a natural number $n$ , a fence $[n] = {1 ≺ 2 ≻ 3 ≺ 4 ≻ 5 ≺ \dots n}$ is a partial ordered set. A partial transformation $α$ is called fence-decreasing if $xα\pre…

math.RA2025

On certain semigroups of finite oriented and order-decreasing partial transformations

Gonca Ayık, Hayrullah Ayık, Ilinka Dimitrova +1

Let $P O RD_{n}$ be the semigroup consisting of all oriented and order-decreasing partial transformations on the finite chain $X_{n} = {1 < \dots < n}$ . Let $\mathcal{IORD}_…

math.RA2025

On certain subsemigroups of finite oriented and order-decreasing full transformations

Gonca Ayık, Hayrullah Ayık, Ilinka Dimitrova +1

Let $O RD_{n}$ be the semigroup consisting of all oriented and order-decreasing full transformations on the finite chain $X_{n} = {1 < \dots < n}$ , and for $1\leq r\leq n-1…

math.RA2025

On certain semigroups of finite monotone and order-decreasing partial transformations

Gonca Ayık, Hayrullah Ayık, Ilinka Dimitrova +1

Let $P M D_{n}$ be the semigroup consisting of all monotone and order-decreasing partial transformations, and let $I M D_{n}$ be the subsemigroup of $\mathcal{PMD}_…

math.RA2024

Presentations for monoids of 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…

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.RA2023★ 1 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★ 1 cited

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 $O PD I_{n}$ , $M D I_{n}$ and $O D I_{n}$ of the dihedral inverse monoid $D I_{n}$ of all orientation-preserving,…

math.RA2023★ 1 cited

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 $D I_{n}$ , namely its submonoids $O PD I_{n}$ , $M D I_{n}$ and $O D I_{n}$ of all…

math.RA2022

The rank of the inverse semigroup of all partial automorphisms on a finite crown

Ilinka Dimitrova, Jörg Koppitz

For $n \in N$ , let $[n] = {1, 2, \dots, n}$ be an $n$ - element set. As usual, we denote by $I_{n}$ the symmetric inverse semigroup on $[n]$ , i.e. the partial one-to-one…

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…

math.RA2020★ 3 cited

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 $T (X, Y)$ of all transformations on a finite chain $X$ with restricted range $Y \subseteq X$ modulo the set $O P (X, Y)$ …

math.RA2020★ 2 cited

On Relative Ranks of the Semigroup of Orientation-preserving Transformations on Infinite Chains

Ilinka Dimitrova, Jörg Koppitz

In this paper, we determine the relative rank of the semigroup OP(X) of all orientation-preserving transformations on infinite chains modulo the semigroup O(X) of all order-preserv…

math.RA2018★ 10 cited

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…

math.RA2015★ 8 cited

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 $O (X)$ of all order endomorphisms of an infinite chain $X$ and the subset $J$ of $O (X)$ of all transformations $α$ such that $∣ I m (α) ∣ = ∣ X ∣$ .…