Notice bibliographique
- Notice
Type(s) de contenu et mode(s) de consultation : Texte noté : électronique
Auteur(s) : Ganyushkin, Olexandr
Titre(s) : Classical finite transformation semigroups [Texte électronique] : an introduction / Olexandr Ganyushkin, Volodymyr Mazorchuk
Publication : London : Springer, cop. 2009
Description matérielle : 1 ressource dématérialisée
Collection : Algebra and applications ; v. 9
Note(s) : Includes bibliographical references (pages 283-295) and index
"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 examples
and combinatorial applications. It covers the following topics on the examples of
the three classical finite transformation semigroups: transformations and semigroups,
ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent
subsemigroups, presentations, actions on sets, linear representations, cross-sections
and variants. The book contains many exercises and historical comments and is directed,
first of all, to both graduate and postgraduate students looking for an introduction
to the theory of transformation semigroups, but should also prove useful to tutors
and researchers."--Jacket
Autre(s) auteur(s) : Mazorchuk, Volodymyr. Fonction indéterminée
Sujet(s) : Semigroupes
Transformations (mathématiques)
Applications (mathématiques)
Indice(s) Dewey :
512.27 (23e éd.) = Semi-groupes (mathématiques)
Identifiants, prix et caractéristiques : ISBN 9781848002814
Identifiant de la notice : ark:/12148/cb44671598p
Notice n° :
FRBNF44671598
(notice reprise d'un réservoir extérieur)
Table des matières : Ordinary and partial transformations ; The semigroups T[n], PT[n], and IS[n] ; Generating
systems ; Ideals and Green's relations ; Subroups and subsemigroups ; Other relations
on semigroups ; Endomorphisms ; Nilpotent subsemigroups ; Presentation ; Transitive
actions ; Linear representations ; Cross-sections ; Variants ; Order-related subsemigroups.
