Format:
Online-Ressource
,
v.: digital
Edition:
Online-Ausg. Springer eBook Collection. Mathematics and Statistics Electronic reproduction; Available via World Wide Web
ISBN:
1281927430
,
9781848002814
,
9781281927439
Series Statement:
Algebra and Applications 9
Content:
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.
Note:
Includes bibliographical references (p. 283-295) and index
,
Ordinary and Partial Transformations; The Semigroups T n, PT n, and ZS 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;
,
Electronic reproduction; Available via World Wide Web
Additional Edition:
ISBN 1281920738
Additional Edition:
ISBN 9781848002807
Additional Edition:
Druckausg. Ganyushkin, Olexandr Classical finite transformation semigroups London : Springer, 2009 ISBN 9781848002807
Additional Edition:
ISBN 1848002807
Language:
English
Subjects:
Mathematics
Keywords:
Halbgruppe
;
Transformationsgruppe
;
Endliche Gruppe
DOI:
10.1007/978-1-84800-281-4
URL:
Volltext
(lizenzpflichtig)
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