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Classical Finite Transformation Semigroups : An Introduction / by Olexandr Ganyushkin, Volodymyr Mazorchuk; edited by Alice Fialowski, Eric Friedlander, John Greenlees, Gerhard Hiss, Ieke Moerdijk, Idun Reiten, Christoph Schweigert, Mina Teicher

Contributor(s): Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Algebra and Applications ; 9 | SpringerLink BücherPublisher: London : Springer London, 2009Description: Online-Ressource (digital)ISBN:
  • 9781848002814
Subject(s): Additional physical formats: 9781848002807 | Buchausg. u.d.T.: Classical finite transformation semigroups. 1. ed. London : Springer, 2009. XII, 314 S.DDC classification:
  • 512.2
MSC: MSC: *20M20 | 20-02 | 20M05 | 54H15RVK: RVK: SK 260LOC classification:
  • QA174-183
DOI: DOI: 10.1007/978-1-84800-281-4Online resources: Summary: 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.Summary: 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.PPN: PPN: 1647669685Package identifier: Produktsigel: ZDB-2-SEB | ZDB-2-SMA | ZDB-2-SXMS
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