Classical Finite Transformation Semigroups

An Introduction

verfasst von: Olexandr Ganyushkin, Volodymyr Mazorchuk

Verlag: Springer London

Buchreihe : Algebra and Applications

Enthalten in: Springer Professional "Wirtschaft+Technik" , Springer Professional "Technik" , Springer Professional "Wirtschaft"

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Über dieses Buch

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 also to tutors and researchers.

Inhaltsverzeichnis

Backmatter

Titel: Classical Finite Transformation Semigroups
verfasst von: Olexandr Ganyushkin
Volodymyr Mazorchuk
Verlag: Springer London
Electronic ISBN: 978-1-84800-281-4
Print ISBN: 978-1-84800-280-7
DOI: https://doi.org/10.1007/978-1-84800-281-4

Springer Professional

Classical Finite Transformation Semigroups

An Introduction

Über dieses Buch

Inhaltsverzeichnis

Frontmatter

1. Ordinary and Partial Transformations

2. The Semigroups T n, PT n, and IS n

3. Generating Systems

4. Ideals and Green ' s Relations

5. Subgroups and Subsemigroups

6. Other Relations on Semigroups

7. Endomorphisms

8. Nilpotent Subsemigroups

9. Presentation

10. Transitive Actions

11. Linear Representations

12. Cross-Sections

13. Variants

14. Order-Related Subsemigroups

Backmatter

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