rdf-syntax-grammar
mods:
  schema location: http://www.loc.gov/mods/v3 http://www.loc.gov/standards/mods/v3/mods-3-2.xsd
  title info:
    title: Classical Finite Transformation Semigroups
    sub title: An Introduction
  name:
    name part: Ganyushkin, Olexandr.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Mazorchuk, Volodymyr.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxk
    date issued: 2009
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: online resource.
  abstract: 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.
  table of contents: 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.
  note: by Olexandr Ganyushkin, Volodymyr Mazorchuk.
  subject:
    topic: Mathematics
  subject:
    topic: Group theory
  subject:
    topic: Combinatorics
  subject:
    topic: Mathematics
  subject:
    topic: Group Theory and Generalizations
  subject:
    topic: Combinatorics
  classification: QA174-183
  classification: 512.2
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Algebra and Applications, 9
  identifier: 9781848002814
  identifier: http://dx.doi.org/10.1007/978-1-84800-281-4
  record info:
    record creation date: 100301
    record change date: 20131218212732.0
    record identifier: 978-1-84800-281-4