Classical Finite Transformation Semigroups An 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 semigrou...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Ganyushkin, Olexandr (Συγγραφέας), Mazorchuk, Volodymyr (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: London : Springer London : Imprint: Springer, 2009.
Σειρά:Algebra and Applications, 9
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
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100 1 |a Ganyushkin, Olexandr.  |e author. 
245 1 0 |a Classical Finite Transformation Semigroups  |h [electronic resource] :  |b An Introduction /  |c by Olexandr Ganyushkin, Volodymyr Mazorchuk. 
264 1 |a London :  |b Springer London :  |b Imprint: Springer,  |c 2009. 
300 |b online resource. 
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490 1 |a Algebra and Applications,  |x 1572-5553 ;  |v 9 
505 0 |a Ordinary and Partial Transformations -- The Semigroups T n, PT n, and IS n -- Generating Systems -- Ideals and Green ' s Relations -- Subgroups and Subsemigroups -- Other Relations on Semigroups -- Endomorphisms -- Nilpotent Subsemigroups -- Presentation -- Transitive Actions -- Linear Representations -- Cross-Sections -- Variants -- Order-Related Subsemigroups. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Group theory. 
650 0 |a Combinatorics. 
650 1 4 |a Mathematics. 
650 2 4 |a Group Theory and Generalizations. 
650 2 4 |a Combinatorics. 
700 1 |a Mazorchuk, Volodymyr.  |e author. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9781848002807 
830 0 |a Algebra and Applications,  |x 1572-5553 ;  |v 9 
856 4 0 |u http://dx.doi.org/10.1007/978-1-84800-281-4  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)