H. Ayık

collaborators

7 papers

math.RA2026

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

Gonca AyÄ±k, Hayrullah AyÄ±k, 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 $I^\pm$ is called fence-decreasing if $xÎ±\p…

math.RA2026

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

Gonca AyÄ±k, Hayrullah AyÄ±k, 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 AyÄ±k

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 $Ï_{k}\i…

math.RA2025

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

Gonca AyÄ±k, Hayrullah AyÄ±k, 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 AyÄ±k, Hayrullah AyÄ±k, 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 monoids of monotone partial transformations of a finite chain whose domains and ranges are intervals

Hayrullah AyÄ±k, VÃtor 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…