Lattice uniformities on effect algebras
نویسندگان
چکیده
Let L be a lattice ordered effect algebra. We prove that the lattice uniformities on L which make uniformly continuous the operations ⊖ and ⊕ of L are uniquely determined by their system of neighbourhoods of 0 and form a distributive lattice. Moreover we prove that every such uniformity is generated by a family of weakly subadditive [0,+∞]-valued functions on L.
منابع مشابه
States, Uniformities and Metrics on Lattice Effect Algebras
Effect algebras [6] (or, equivalent in some sense, D-posets [13], [14]) were introduced as carriers of states or probability measures in the quantum (or fuzzy) probability theory (see [10], [11], [13]). Thus elements of these structures represent quantum effects or fuzzy events which have yes-no character that may be unsharp or imprecise. Unfortunately, there are even finite effect algebras adm...
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