Classical Finite Transformation Semigroups
An Introduction
Seiten
2010
|
Softcover reprint of hardcover 1st ed. 2009
Springer London Ltd (Verlag)
978-1-84996-768-6 (ISBN)
Springer London Ltd (Verlag)
978-1-84996-768-6 (ISBN)
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.
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.
| Erscheint lt. Verlag | 28.10.2010 |
|---|---|
| Reihe/Serie | Algebra and Applications ; 9 |
| Zusatzinfo | 4 Illustrations, black and white; XII, 328 p. 4 illus. |
| Verlagsort | England |
| Sprache | englisch |
| Maße | 155 x 235 mm |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Graphentheorie |
| ISBN-10 | 1-84996-768-7 / 1849967687 |
| ISBN-13 | 978-1-84996-768-6 / 9781849967686 |
| Zustand | Neuware |
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