2010/01/08 by Jan Paseka
Computer Science · Mathematics · Physics and Astronomy · #Advanced Algebra and Logic #Logic, Reasoning, and Knowledge #Rough Sets and Fuzzy Logic #math-ph #math.MP #math.RA #quant-ph
paper · pdf · doi:10.3842/sigma.2010.003
published as SIGMA 6 (2010), 003, 9 pages
arxiv created 2010/01/08 · openalex publication_date 2010/01/08 · arxiv updated 2010/01/14 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Effect algebras are a generalization of many structures which arise in quantum physics and in mathematical economics. We show that, in every modular Archimedean atomic lattice effect algebra E that is not an orthomodular lattice there exists an (o)continuous state on E, which is subadditive. Moreover, we show properties of finite and compact elements of such lattice effect algebras.