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Classical Finite Transformation Semigroups

An Introduction

  • Olexandr Ganyushkin
  • Volodymyr Mazorchuk

Part of the Algebra and Applications book series (AA, volume 9)

Table of contents

  1. Front Matter
    Pages i-xii
  2. Olexandr Ganyushkin, Volodymyr Mazorchuk
    Pages 1-14
  3. Olexandr Ganyushkin, Volodymyr Mazorchuk
    Pages 15-38
  4. Olexandr Ganyushkin, Volodymyr Mazorchuk
    Pages 39-43
  5. Olexandr Ganyushkin, Volodymyr Mazorchuk
    Pages 45-67
  6. Olexandr Ganyushkin, Volodymyr Mazorchuk
    Pages 69-89
  7. Olexandr Ganyushkin, Volodymyr Mazorchuk
    Pages 91-110
  8. Olexandr Ganyushkin, Volodymyr Mazorchuk
    Pages 111-129
  9. Olexandr Ganyushkin, Volodymyr Mazorchuk
    Pages 131-152
  10. Olexandr Ganyushkin, Volodymyr Mazorchuk
    Pages 153-174
  11. Olexandr Ganyushkin, Volodymyr Mazorchuk
    Pages 175-188
  12. Olexandr Ganyushkin, Volodymyr Mazorchuk
    Pages 189-213
  13. Olexandr Ganyushkin, Volodymyr Mazorchuk
    Pages 215-236
  14. Olexandr Ganyushkin, Volodymyr Mazorchuk
    Pages 237-250
  15. Olexandr Ganyushkin, Volodymyr Mazorchuk
    Pages 251-275
  16. Back Matter
    Pages 277-314

About this book

Introduction

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.

Keywords

Cardinality DEX Finite Idempotent Morphism Semigroups Transformations congruence form presentation semigroup sets transformation

Authors and affiliations

  • Olexandr Ganyushkin
    • 1
  • Volodymyr Mazorchuk
    • 2
  1. 1.Kyiv Taras Shevchenko UniversityKyivUkraine
  2. 2.Dept. MathematicsUppsala UniversityUppsalaSweden

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-84800-281-4
  • Copyright Information Springer-Verlag London 2009
  • Publisher Name Springer, London
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-84800-280-7
  • Online ISBN 978-1-84800-281-4
  • Series Print ISSN 1572-5553
  • Series Online ISSN 2192-2950
  • Buy this book on publisher's site