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Classical Finite Transformation Semigroups: An Introduction
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Catalogue Information
Field name
Details
Dewey Class
512.27
Title
Classical Finite Transformation Semigroups ([Ebook]) : An Introduction / by Olexandr Ganyushkin, Volodymyr Mazorchuk.
Author
Ganyushkin, Olexandr
Added Personal Name
Mazorchuk, Volodymyr
Other name(s)
SpringerLink (Online service)
Publication
London : Springer London
, 2009.
Physical Details
: online resource.
Series
Algebra and Applications
1572-5553 ; ; 9
ISBN
9781848002814
Summary Note
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.:
Contents note
Preface -- 1. Ordinary and partial transformations -- 2. The semigroups Tn, PT n and ISn -- 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 -- Answers and hints to exercises -- Bibliography -- List of notation -- Index.
System details note
Online access to this digital book is restricted to subscription institutions through IP address (only for SISSA internal users).
Internet Site
http://dx.doi.org/10.1007/978-1-84800-281-4
Links to Related Works
Subject References:
Combinatorics
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Group theory
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Group Theory and Generalizations
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Mathematics
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Authors:
author
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Ganyushkin, Olexandr
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Mazorchuk, Volodymyr
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Corporate Authors:
SpringerLink (Online service)
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Series:
Algebra and Applications
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Classification:
512.27
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512.27 (DDC 23)
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