The Monoid of All Injective Order Preserving Partial Transformations on a Finite Chain Page 1
Semigroup Forum Vol. 62 (2001) 178–204 c 2001 Springer-Verlag New York Inc. DOI …

Let O n be the semigroup of all order-preserving full transformations of a finite chain, say X
n={1, 2,..., n}, and for a given full transformation α: X n→ X n let f (α)=|{x∈ X n: xα= x}|. In this …

In this paper we study several structural properties of the monoids POPIn of all injective
orientation preserving partial transformations on a chain with n elements: we establish …

Abstract Let [n]={1, 2,…, n} be a finite chain and let P n be the semigroup of partial
transformations on [n]. Let CP n={α∈ P n:(for all x, y∈ Dom α)| x α− y α|≤| x− y|} be the …

We survey some known nice presentations of several monoids of partial transformations on
a finite chain: we consider the monoids of all order preserving partial transformations, of all …

The main subject of this paper is the description of the congruences on certain monoids of
transformations on a finite chain Xn with n elements. Namely, we consider the monoids ORn …

Let X n be a chain with n elements (n∈ ℕ), and let 𝒪𝒫 n be the monoid of all orientation-
preserving transformations of X n. In this article, for any nonempty subset Y of X n, we …

Abstract Let $[n]=\{1, 2,{\cdots}, n\} $, and let $ PO_n $ be the partial order-preserving
transformation semigroup on [n]. Let $$ CPO_n=\{{\alpha}{\in} PO_n:({\forall} x, y {\in} dom …

We characterise the respective semigroups of mappings that preserve, or that preserve or
reverse orientation of a finite cycle, in terms of their actions on oriented triples and oriented …

In this paper we consider three natural extensions of the inverse monoid POI< sub> n of all
order preserving injective partial transformations of a chain with n elements. Namely, the …