Classical finite transformation semigroups : an introduction / Olexandr Ganyushkin, Volodymyr Mazorchuk.
"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 se...
Saved in:
| Main Authors: | , |
|---|---|
| Format: | Ebook |
| Language: | English |
| Published: |
London :
Springer,
[2009]
|
| Series: | Algebras and applications ;
v. 9. |
| Subjects: | |
| Online Access: | Springer eBooks |
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| 100 | 1 | |a Ganyushkin, Olexandr, |e author. |9 860120 | |
| 245 | 1 | 0 | |a Classical finite transformation semigroups : |b an introduction / |c Olexandr Ganyushkin, Volodymyr Mazorchuk. |
| 264 | 1 | |a London : |b Springer, |c [2009] | |
| 264 | 4 | |c ©2009 | |
| 300 | |a 1 online resource (xii, 314 pages) : |b illustrations. | ||
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| 490 | 1 | |a Algebra and applications ; |v v. 9 | |
| 504 | |a Includes bibliographical references (pages 283-295) and index. | ||
| 505 | 0 | 0 | |t Ordinary and Partial Transformations -- |t The Semigroups T n, PT n, and IS n -- |t Generating Systems -- |t Ideals and Green ' s Relations -- |t Subgroups and Subsemigroups -- |t Other Relations on Semigroups -- |t Endomorphisms -- |t Nilpotent Subsemigroups -- |t Presentation -- |t Transitive Actions -- |t Linear Representations -- |t Cross-Sections -- |t Variants -- |t Order-Related Subsemigroups. |
| 520 | |a "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."--Publisher's website. | ||
| 538 | |a Mode of access: World Wide Web. | ||
| 588 | |a Machine converted from AACR2 source record. | ||
| 650 | 0 | |a Semigroups. |9 336703 | |
| 700 | 1 | |a Mazorchuk, Volodymyr, |e author. |9 860121 | |
| 830 | 0 | |a Algebras and applications ; |v v. 9. |9 859795 | |
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