Least Integer Closed Groups View Full Text


Ontology type: schema:Chapter     


Chapter Info

DATE

2002

AUTHORS

Anthony W. Hager , Chawne M. Kimber , Warren Wm. McGovern

ABSTRACT

An a-closure of a lattice-ordered group is an extension which is maximal with respect to preserving the lattice of convex l-subgroups under contraction. We describe the a-closures of some local singular archimedean lattice-ordered groups with designated weak unit. In particular, we provide explicit descriptions of all of the a-closures of groups that are singularly convex, such as the group C(X, ℤ) of continuous integer-valued functions on a zero-dimensional space. More... »

PAGES

245-260

References to SciGraph publications

  • 1998-12. Singular Archimedean lattice-ordered groups in ALGEBRA UNIVERSALIS
  • Book

    TITLE

    Ordered Algebraic Structures

    ISBN

    978-1-4419-5225-7
    978-1-4757-3627-4

    Identifiers

    URI

    http://scigraph.springernature.com/pub.10.1007/978-1-4757-3627-4_13

    DOI

    http://dx.doi.org/10.1007/978-1-4757-3627-4_13

    DIMENSIONS

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