In algebra, a transformation semigroup (or composition semigroup) is a collection of transformations that is closed under function composition. Transformation semigroups... · Cayley representation

Transformation semigroups are used today in many scientific fields because they allow a unified description of various natural processes and convenient ...

Any subsemigroup of TX is called a transformation semigroup. Transformation semigroups are ubiquitous in semigroup theory be- cause of Cayleys Theorem which ...

The aim of this monograph is to give a self-contained introduction to the modern theory of finite transformation semigroups with a strong emphasis on concrete ...

16 сент. 2021 г. · The topics in this paper deal with generating subsemigroups of the full transformation semigroup () on a totally ordered finite set ( ...

The semigroup of Alternating Nonnegative Integers for n-even (AZ n -even ) is shown to have only two D-classes, and there are -classes for n≥4.

The aim of this paper is to describe a natural factorisation of (m, r)-potent elements in Tn and to give some applications of this factorisation. For undefined ...

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.

A transformation semigroup is simply a semigroup consisting of transformations. An object obj is a transformation semigroup in GAP if it satisfies ...

In a series of papers ((1967), (1967a) and (1967b)) Magill has considered the semigroups J (definition below), a natural, but extensive, generalization of ...