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• W3178704503 abstract "Abstract Paraorthomodular posets are bounded partially ordered sets with an antitone involution induced by quantum structures arising from the logico-algebraic approach to quantum mechanics. The aim of the present work is starting a systematic inquiry into paraorthomodular posets theory both from algebraic and order-theoretic perspectives. On the one hand, we show that paraorthomodular posets are amenable of an algebraic treatment by means of a smooth representation in terms of bounded directoids with antitone involution. On the other, we investigate their order-theoretical features in terms of forbidden configurations. Moreover, sufficient and necessary conditions characterizing bounded posets with an antitone involution whose Dedekind–MacNeille completion is paraorthomodular are provided." @default.
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• W3178704503 date "2021-07-08" @default.
• W3178704503 modified "2023-09-24" @default.
• W3178704503 title "Algebraic Properties of Paraorthomodular Posets" @default.
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• W3178704503 doi "https://doi.org/10.1093/jigpal/jzab024" @default.
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