5 papers
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…
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}_…
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}_…
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…
Presentations for monoids of partial endomorphisms of a star graph
Ilinka Dimitrova, VÃtor 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…