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＜電子ブック＞
Classical Finite Transformation Semigroups : An Introduction / by Olexandr Ganyushkin, Volodymyr Mazorchuk
(Algebra and Applications. ISSN:21922950 ; 9)

版	1st ed. 2009.
出版者	(London : Springer London : Imprint: Springer)
出版年	2009
本文言語	英語
大きさ	XII, 328 p. 4 illus : online resource
著者標目	*Ganyushkin, Olexandr author Mazorchuk, Volodymyr author SpringerLink (Online service)
件　名	LCSH:Group theory LCSH:Discrete mathematics FREE:Group Theory and Generalizations FREE:Discrete Mathematics
一般注記	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 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 HTTP:URL=https://doi.org/10.1007/978-1-84800-281-4

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