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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
Publication	, 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 . Group theory . Group Theory and Generalizations . Mathematics . Authors: author . Ganyushkin, Olexandr . Mazorchuk, Volodymyr . Corporate Authors: SpringerLink (Online service) . Series: Algebra and Applications . Classification: 512.27 . 512.27 (DDC 23) .

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Classical Finite Transformation Semigroups: An Introduction

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