Classical Finite Transformation Semigroups: An Introduction
Olexandr Ganyushkin · Volodymyr Mazorchuk
Dec 2008 · Algebra and Applications Book 9 · Springer Science & Business Media
Ebook
328
Pages
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About this ebook
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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