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: Simple Relation Algebras
  name:
    name part: Givant, Steven.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: Andréka, Hajnal.
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2017
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XXIV, 622 p. 52 illus., 35 illus. in color. online resource.
  abstract: This monograph details several different methods for constructing simple relation algebras, many of which are new with this book. By drawing these seemingly different methods together, all are shown to be aspects of one general approach, for which several applications are given. These tools for constructing and analyzing relation algebras are of particular interest to mathematicians working in logic, algebraic logic, or universal algebra, but will also appeal to philosophers and theoretical computer scientists working in fields that use mathematics. The book is written with a broad audience in mind and features a careful, pedagogical approach; an appendix contains the requisite background material in relation algebras. Over 400 exercises provide ample opportunities to engage with the material, making this a monograph equally appropriate for use in a special topics course or for independent study. Readers interested in pursuing an extended background study of relation algebras will find a comprehensive treatment in author Steven Givant’s textbook, Introduction to Relation Algebras (Springer, 2017).
  table of contents: Preface -- 1. Rectangular Semiproducts -- 2. Equivalence Semiproducts -- 3. Diagonal Semiproducts -- 4. Semipowers -- 5. Simple Closures -- 6. Quasi-bijective Relation Algebras -- 7. Quotient Relations Algebras and Equijections -- 8. Quotient Semiproducts -- 9. Group and Geometric Quotient Semiproducts -- 10. Insertion Semiproducts -- 11. Two-quasi-bijective Relation Algebras -- A. Relation Algebras -- B. Geometry -- C. Selected Hints to Exercises -- References.
  note: by Steven Givant, Hajnal Andréka.
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Mathematical logic
  subject:
    topic: Mathematics
  subject:
    topic: Mathematical Logic and Foundations
  subject:
    topic: Algebra
  classification: QA8.9-10.3
  classification: 511.3
  related item:
    title info:
      title: Springer eBooks
  identifier: 9783319676968
  identifier: http://dx.doi.org/10.1007/978-3-319-67696-8
  record info:
    record creation date: 180109
    record change date: 20180109213149.0
    record identifier: 978-3-319-67696-8