H. Ayık

collaborators

5 papers

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 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.RA2025

Combinatorial results for zero-divisors regarding right zero elements of order-preserving transformations

Emrah Korkmaz, Hayrullah Ayık

For any positive integer $n$ , let $O_{n}$ be the semigroup of all order-preserving full transformations on $X_{n} = {1 < \dots < n}$ . For any $1 \leq k \leq n$ , let $π_{k}\in…

math.RA2025

On monoids of monotone partial transformations of a finite chain whose domains and ranges are intervals

Hayrullah Ayık, Vítor H. Fernandes, Emrah Korkmaz

In this note, we consider the monoid $P I M_{n}$ of all partial monotone transformations on a chain with $n$ elements whose domains and ranges are intervals and its submono…

math.RA2025

On the monoid of partial order-preserving transformations of a finite chain whose domains and ranges are intervals

Hayrullah Ayık, Vítor H. Fernandes, Emrah Korkmaz

In this paper, we consider the monoid $P I O_{n}$ , of all partial order-preserving transformations on a chain with $n$ elements whose domains and ranges are intervals, alon…