Lattice uniformities on effect algebras

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dc.creatorAvallone, Anna
dc.creatorVitolo, Paolo
dc.date2002-11-11
dc.date2003-06-12
dc.date.accessioned2026-07-07T04:52:48Z
dc.date.available2026-07-07T04:52:48Z
dc.descriptionLet L be a lattice ordered effect algebra. We prove that the lattice uniformities on L which make uniformly continuous the operations $\ominus$ and $\oplus$ 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 $[0,+\infty]$-valued functions on L.
dc.descriptionLatex + AMSmath package
dc.identifierhttps://arxiv.org/abs/math/0211152
dc.identifierhttp://arxiv.org/abs/math/0211152
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/65603
dc.subjectRings and Algebras
dc.subjectQuantum Algebra
dc.subject06C15 (Primary) 28A12 (Secondary)
dc.titleLattice uniformities on effect algebras
dc.typetext

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