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...

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Hlavní autoři: Ganyushkin, Olexandr, 19..-...., mathématicien, Mazorchuk, Volodymyr, 1972-...., mathématicien (Autor)
Médium: Livre numérique
Jazyk:Anglais
Vydáno: London : Springer London : Imprint: Springer [20..].
Cham : Springer Nature
Edice:Algebra and Applications 9
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Edition sous un autre format:• Classical finite transformation semigroups, an introduction, Olexandr Ganyushkin, Volodymyr Mazorchuk, 2009, London, Springer, 1 vol. (XII-314 p.), Algebra and applications, 978-1-8480-0280-7
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Shrnutí: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.
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ISBN:9781848002814
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