The commuting graph of a finite non-commutative semigroup S, denoted G (S), is a simple
graph whose vertices are the non-central elements of S and two distinct vertices x, y are …

The action of any group on itself by conjugation and the corresponding conjugacy relation
play an important role in group theory. There have been several attempts to extend the …

Combining the definition of 0-Hecke monoids with that of Kiselman semigroups, we define
what we call Kiselman quotients of 0-Hecke monoids associated with simply laced Dynkin …

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 …

The action of any group on itself by conjugation and the corresponding conjugacy relation
play an important role in group theory. There have been many attempts to find notions of …

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 …

The (full) transformation semigroup T_n is the semigroup of all functions from the finite set
1,…, n to itself, under the operation of composition. The symmetric group S_n⊆T_n is the …

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 …

For a monoid M and a subsemigroup S of the full transformation semigroup T n, the wreath
product M≀ S is defined to be the semidirect product M n⋊ S, with the coordinatewise action …

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 …