ENGLISH

Classical Finite Transformation Semigroups: An Introduction

By Olexandr Ganyushkin , Volodymyr Mazorchuk (auth.)

Book information

Publisher
Springer-Verlag London
Year
2009
ISBN
978-1-84800-280-7, 978-1-84800-281-4
DOI
10.1007/978-1-84800-281-4
Language
english
Format
PDF
Filesize
4 MB (3953099 bytes)
Series
Algebra and Applications 9
Edition
1
Pages
328\317
Orientation
yes
Scanned
yes
Time added
2013-08-01 04:00:00
Group Theory and Generalizations; Combinatorics

Description

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.

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