Classical finite transformation semigroups an introduction /
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, linea...
| Main Author: | Ganyushkin, Olexandr. |
|---|---|
| Other Authors: | Mazorchuk, Volodymyr., SpringerLink (Online Service) |
| Format: | eBook |
| Language: | English |
| Published: |
London :
Springer,
©2009.
|
| Physical Description: |
1 online resource (xii, 314 pages) : illustrations. |
| Series: |
Algebras and applications ;
v. 9. |
| Subjects: |
| 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. |
|---|---|
| Item Description: |
Includes bibliographical references (pages 283-295) and index. 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. 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. English. University staff and students only. Requires University Computer Account login off-campus. |
| Physical Description: |
1 online resource (xii, 314 pages) : illustrations. |
| Bibliography: |
Includes bibliographical references (pages 283-295) and index. |
| ISBN: |
9781848002814 1848002815 |
| Access: |
University staff and students only. Requires University Computer Account login off-campus. |