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nLab > Latest Changes: lattice-ordered abelian group

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  1. Partially ordered abelian groups whose partial order is a pseudolattice

    Anonymous

    v1, current

  2. Freyd used “lattice ordered abelian group” rather than “pseudolattice ordered abelian group”. In general, the literature on these objects assume lattices do not have bottom or top elements because if they did, they will just be the trivial lattice and trivial group.

    Anonymouse

    diff, v6, current

  3. there is also an en dash between “lattice” and “ordered” in lattice-ordered abelian groups

    Anonymouse

    diff, v7, current

    • CommentRowNumber4.
    • CommentAuthorJ-B Vienney
    • CommentTimeJun 20th 2024

    Added a reference and added the classical definition (the current definitions are a bit exotic I think).

    diff, v8, current

    • CommentRowNumber5.
    • CommentAuthorJ-B Vienney
    • CommentTimeJun 20th 2024

    Added a reference and added the classical definition (the current definitions are a bit exotic I think).

    diff, v8, current

    • CommentRowNumber6.
    • CommentAuthorUrs
    • CommentTimeJun 21st 2024

    Where it said that lattices are assumed not to have top and bottom elements, I changed it to saying “not need to have…”

    diff, v9, current

    • CommentRowNumber7.
    • CommentAuthorJ-B Vienney
    • CommentTimeJun 21st 2024

    Added definition of group of divisibility and Jaffard-Ohm-Kaplansky theorem.

    diff, v10, current

1 to 7 of 7

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