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 …

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 …

We study the structure of the semigroup IO n of all order-preserving partial bijections on an n-
element set. For this semigroup we describe maximal subsemigroups, maximal inverse …

Let X be a finite or infinite chain and let O(X) be the monoid of all endomorphisms of X. In
this paper, we describe the largest regular subsemigroup of O(X) and Green's relations on …

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 …

Abstract Let $ X_ {n}=\{1, 2,\ldots, n\} $ with its natural order and let ${\cal T} _ {n} $ be the full
transformation semigroup on $ X_ {n} $. A map $\alpha\in {\cal T} _ {n} $ is said to be order …

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 …

In this paper we consider various classes of monoids of transformations of a finite chain,
including those of transformations that preserve or reverse either the order or the orientation …

A zig-zag (or fence) order is a special partial order on a (finite) set. In this paper, we consider
the semigroup TF _ n TF n of all order-preserving transformations on an n-element zig-zag …