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: Lattices and Ordered Sets
  name:
    name part: Roman, Steven.
    role:
      role term: creator
    role:
      role term: author.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: xxu
    date issued: 2008
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XV, 305 p. online resource.
  abstract: This book is intended to be a thorough introduction to the subject of ordered sets and lattices, with an emphasis on the latter. It can be used for a course at the graduate or advanced undergraduate level or for independent study. Prerequisites are kept to a minimum, but an introductory course in abstract algebra is highly recommended, since many of the examples are drawn from this area. The book has an excellent choice of topics, including a chapter on well ordering and ordinal numbers, which is not usually found in other texts. The approach is user-friendly and the presentation is lucid. There are more than 240 carefully chosen exercises. Topic coverage includes: modular, semimodular and distributive lattices, boolean algebras, representation of distributive lattices, algebraic lattices, congruence relations on lattices, free lattices, fixed-point theorems, duality theory and more. Steven Roman is the author of many successful textbooks, including Advanced Linear Algebra, 3rd Edition (Springer 2007), Field Theory, 2nd Edition (Springer 2005), and Introduction to the Mathematics of Finance (2004).
  table of contents: Basic Theory -- Partially Ordered Sets -- Well-Ordered Sets -- Lattices -- Modular and Distributive Lattices -- Boolean Algebras -- The Representation of Distributive Lattices -- Algebraic Lattices -- Prime and Maximal Ideals; Separation Theorems -- Congruence Relations on Lattices -- Topics -- Duality for Distributive Lattices: The Priestley Topology -- Free Lattices -- Fixed-Point Theorems.
  note: by Steven Roman.
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Ordered algebraic structures
  subject:
    topic: Mathematics
  subject:
    topic: Order, Lattices, Ordered Algebraic Structures
  subject:
    topic: Algebra
  classification: QA172-172.4
  classification: QA171.5
  classification: 511.33
  related item:
    title info:
      title: Springer eBooks
  identifier: 9780387789019
  identifier: http://dx.doi.org/10.1007/978-0-387-78901-9
  record info:
    record creation date: 100301
    record change date: 20151204145606.0
    record identifier: 978-0-387-78901-9