activity
20242026
collaborators

5 papers

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 , a fence is a partial ordered set. A partial transformation is called fence-decreasing if $xα\p…

math.RA2026

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

Gonca Ayık, Hayrullah Ayık, Ilinka Dimitrova +1

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

math.RA2025

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

Gonca Ayık, Hayrullah Ayık, Ilinka Dimitrova +1

Let be the semigroup consisting of all oriented and order-decreasing partial transformations on the finite chain . Let $\mathcal{IORD}_…

math.RA2025

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

Gonca Ayık, Hayrullah Ayık, Ilinka Dimitrova +1

Let be the semigroup consisting of all oriented and order-decreasing full transformations on the finite chain , and for $1\leq r\leq n-1…

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…