Algebraic properties of paraorthomodular posets
Chajda, Ivan;Fazio, Davide;Ledda, Antonio
;
2022-01-01
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.File | Size | Format | |
---|---|---|---|
8.Algebraic properties of paraorthomodular posets_Chajda_Fazio_et_al.pdf Solo gestori archivio
Type: versione editoriale
Size 636.9 kB
Format Adobe PDF
|
636.9 kB | Adobe PDF | & nbsp; View / Open Request a copy |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.