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Classical Finite Transformation Semigroups: An Introduction

Classical Finite Transformation Semigroups: An Introduction

Paperback

Series: Algebra and Applications, Book 9

AlgebraGeneral Mathematics

ISBN10: 1849967687
ISBN13: 9781849967686
Publisher: Springer Nature
Published: Oct 28 2010
Pages: 328
Weight: 1.01
Height: 0.69 Width: 6.14 Depth: 9.21
Language: English
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.

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