Author: nLab edit announcer Format: MarkdownItexPartially ordered abelian groups whose partial order is a pseudolattice
Anonymous
<a href="https://ncatlab.org/nlab/revision/pseudolattice+ordered+abelian+group/1">v1</a>, <a href="https://ncatlab.org/nlab/show/pseudolattice+ordered+abelian+group">current</a>
Partially ordered abelian groups whose partial order is a pseudolattice
Author: nLab edit announcer Format: MarkdownItexFreyd 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
<a href="https://ncatlab.org/nlab/revision/diff/lattice+ordered+abelian+group/6">diff</a>, <a href="https://ncatlab.org/nlab/revision/lattice+ordered+abelian+group/6">v6</a>, <a href="https://ncatlab.org/nlab/show/lattice+ordered+abelian+group">current</a>
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.
Author: nLab edit announcer Format: MarkdownItexthere is also an en dash between “lattice” and “ordered” in lattice-ordered abelian groups
Anonymouse
<a href="https://ncatlab.org/nlab/revision/diff/lattice-ordered+abelian+group/7">diff</a>, <a href="https://ncatlab.org/nlab/revision/lattice-ordered+abelian+group/7">v7</a>, <a href="https://ncatlab.org/nlab/show/lattice-ordered+abelian+group">current</a>
there is also an en dash between “lattice” and “ordered” in lattice-ordered abelian groups
Author: J-B Vienney Format: MarkdownItexAdded a reference and added the classical definition (the current definitions are a bit exotic I think).
<a href="https://ncatlab.org/nlab/revision/diff/lattice-ordered+abelian+group/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/lattice-ordered+abelian+group/8">v8</a>, <a href="https://ncatlab.org/nlab/show/lattice-ordered+abelian+group">current</a>
Added a reference and added the classical definition (the current definitions are a bit exotic I think).
Author: J-B Vienney Format: MarkdownItexAdded a reference and added the classical definition (the current definitions are a bit exotic I think).
<a href="https://ncatlab.org/nlab/revision/diff/lattice-ordered+abelian+group/8">diff</a>, <a href="https://ncatlab.org/nlab/revision/lattice-ordered+abelian+group/8">v8</a>, <a href="https://ncatlab.org/nlab/show/lattice-ordered+abelian+group">current</a>
Added a reference and added the classical definition (the current definitions are a bit exotic I think).
Author: Urs Format: MarkdownItexWhere it said that lattices are assumed not to have top and bottom elements, I changed it to saying "not need to have..."
<a href="https://ncatlab.org/nlab/revision/diff/lattice-ordered+abelian+group/9">diff</a>, <a href="https://ncatlab.org/nlab/revision/lattice-ordered+abelian+group/9">v9</a>, <a href="https://ncatlab.org/nlab/show/lattice-ordered+abelian+group">current</a>
Where it said that lattices are assumed not to have top and bottom elements, I changed it to saying “not need to have…”
Author: J-B Vienney Format: MarkdownItexAdded definition of group of divisibility and Jaffard-Ohm-Kaplansky theorem.
<a href="https://ncatlab.org/nlab/revision/diff/lattice-ordered+abelian+group/10">diff</a>, <a href="https://ncatlab.org/nlab/revision/lattice-ordered+abelian+group/10">v10</a>, <a href="https://ncatlab.org/nlab/show/lattice-ordered+abelian+group">current</a>
Added definition of group of divisibility and Jaffard-Ohm-Kaplansky theorem.