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Results tagged with lattice-theory
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user 30267
The theory of lattices in the sense of order theory. For the number-theoretic notion, use the tag "lattices" instead.
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Subgroup of lattice-ordered group
Let $H$ be a subgroup of a lattice-ordered group $G$. Suppose that $H$ with the induced order is a lattice (but a priori not a sublattice), so that $H$ is a lattice-ordered group too. For $a, b\in H$, …
- 173
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Direct limit of lattice-ordered groups
In general, any abelian group can be expressed as a direct limit of its f.g. subgroups. For the case of $\ell$-group (lattice-ordered group) is that true or not? As an abelian group we do not have pro …
- 173