We prove a representation theorem for complete MV-algebras endowed with a Hausdorff order continuous (o.c.) locally convex topology which admits a 0-neighbourhood base consisting of sublattices and deduce from this a representation theorem for Hausdorff o.c. locally solid Dedekind complete ℓ-groups which admits a 0-neighbourhood base consisting of sublattices.
On topological MV-algebras and topological ell-groups.
WEBER, Hans Josef Karl
2012-01-01
Abstract
We prove a representation theorem for complete MV-algebras endowed with a Hausdorff order continuous (o.c.) locally convex topology which admits a 0-neighbourhood base consisting of sublattices and deduce from this a representation theorem for Hausdorff o.c. locally solid Dedekind complete ℓ-groups which admits a 0-neighbourhood base consisting of sublattices.File in questo prodotto:
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