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Book Cover
E-book
Author Ganyushkin, Olexandr.

Title Classical finite transformation semigroups : an introduction / Olexandr Ganyushkin, Volodymyr Mazorchuk
Published London : Springer, ©2009

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Description 1 online resource (xii, 314 pages) : illustrations
Series Algebra and applications ; vol. 9
Algebras and applications ; v. 9.
Contents Preface -- 1. Ordinary and partial transformations -- 2. The semigroups Tn, PT n and ISn -- 3. Generating Systems -- 4. Ideals and Green's relations -- 5. Subgroups and subsemigroups -- 6. Other relations on semigroups -- 7. Endomorphisms -- 8. Nilpotent subsemigroups -- 9. Presentation -- 10. Transitive actions -- 11. Linear representations -- 12. Cross-sections -- 13. Variants -- 14. Order-related subsemigroups -- Answers and hints to exercises -- Bibliography -- List of notation -- Index
Summary Offers a self-contained introduction to the modern theory of finite transformation semigroups. This book covers topics such as: transformations and semigroups, ideals and Green's relations, subsemigroups, congruences, endomorphisms, nilpotent subsemigroups, presentations, actions on sets, linear representations, cross-sections and variants
Bibliography Includes bibliographical references (pages 283-295) and index
Notes English
Print version record
Subject Semigroups.
MATHEMATICS -- Group Theory.
Semigroups.
Semigroups
Form Electronic book
Author Mazorchuk, Volodymyr.
ISBN 9781848002814
1848002815