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: Monomial Ideals, Computations and Applications
  name:
    name part: Bigatti, Anna M.
    role:
      role term: editor.
  name:
    name part: Gimenez, Philippe.
    role:
      role term: editor.
  name:
    name part: Sáenz-de-Cabezón, Eduardo.
    role:
      role term: editor.
  name:
    name part: SpringerLink (Online service)
  type of resource: text
  origin info:
    place:
      place term: gw
    date issued: 2013
    issuance: monographic
  language:
    language term: eng
  physical description:
    form: electronic
    form: electronic resource
    reformatting quality: access
    form: remote
    extent: XI, 194 p. 42 illus. online resource.
  abstract: This work covers three important aspects of monomials ideals in the three chapters "Stanley decompositions" by Jürgen Herzog, "Edge ideals" by Adam Van Tuyl and "Local cohomology" by Josep Álvarez Montaner. The chapters, written by top experts, include computer tutorials that emphasize the computational aspects of the respective areas. Monomial ideals and algebras are, in a sense, among the simplest structures in commutative algebra and the main objects of combinatorial commutative algebra. Also, they are of major importance for at least three reasons. Firstly, Gröbner basis theory allows us to treat certain problems on general polynomial ideals by means of monomial ideals. Secondly, the combinatorial structure of monomial ideals connects them to other combinatorial structures and allows us to solve problems on both sides of this correspondence using the techniques of each of the respective areas. And thirdly, the combinatorial nature of monomial ideals also makes them particularly well suited to the development of algorithms to work with them and then generate algorithms for more general structures.
  table of contents: A survey on Stanley depth -- Stanley decompositions using CoCoA -- A beginner’s guide to edge and cover ideals -- Edge ideals using Macaulay2 -- Local cohomology modules supported on monomial ideals -- Local Cohomology using Macaulay2.
  note: edited by Anna M. Bigatti, Philippe Gimenez, Eduardo Sáenz-de-Cabezón.
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  subject:
    topic: Mathematics
  subject:
    topic: Algebra
  classification: QA150-272
  classification: 512
  related item:
    title info:
      title: Springer eBooks
  related item:
    title info:
      title: Lecture Notes in Mathematics, 2083
  identifier: 9783642387425
  identifier: http://dx.doi.org/10.1007/978-3-642-38742-5
  record info:
    record creation date: 130823
    record change date: 20150519184950.0
    record identifier: 978-3-642-38742-5