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 …

Let ℐ n be the symmetric inverse semigroup on X n={1, 2,…, n}, and let 𝒟𝒫 n and 𝒪𝒟𝒫 n be
its subsemigroups of partial isometries and of order-preserving partial isometries of X n …

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 …

In this paper, we consider endomorphisms of an undirected cycle graph from Semigroup
Theory perspective. Our main aim is to present a process to determine sets of generators …

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 …

The rank of a semigroup, an important and relevant concept in Semigroup Theory, is the
cardinality of a least-size generating set. Semigroups of transformations that preserve or …

Let 𝒪 𝒫 ℰ n be the monoid of all orientation-preserving and extensive full transformations on
{1, 2,…, n} ordered in the standard way. In this paper, we determine the minimum generating …

CONGRUENCES ON MONOIDS OF ORDER-PRESERVING OR ORDER-REVERSING
TRANSFORMATIONS ON A FINITE CHAIN Page 1 Glasgow Math. J. 47 (2005) 413–424. C 2005 …

A fully invarient congruence relations on the free algebra on a given type induces a variety
of the given type. In contrast, a congruence relation of the free algebra provides algebra of …