by Olexandr Ganyushkin (Author), Volodymyr Mazorchuk (Author), A. Fialowski (Editor)
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.
Format: Hardcover
Pages: 328
Edition: 2009
Publisher: Springer
Published: 23 Dec 2008
ISBN 10: 1848002807
ISBN 13: 9781848002807