Generalizing orthomodularity to unsharp contexts: properties, blocks, residuation

Generalizing orthomodularity to unsharp contexts: properties, blocks, residuation

This paper essentially originates from the notion of a block in an orthomodular lattice. What happens to orthomodularity when orthocomplementation is weakened? We will show that, under definitely smooth conditions, a great deal of the theory of orthomodular lattices carries over naturally.

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Veröffentlicht in:Logic journal of the IGPL 2024-05
Hauptverfasser: Giuntini, Roberto, Ledda, Antonio, Vergottini, Gandolfo
Format: Artikel
Sprache:eng
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Zusammenfassung:This paper essentially originates from the notion of a block in an orthomodular lattice. What happens to orthomodularity when orthocomplementation is weakened? We will show that, under definitely smooth conditions, a great deal of the theory of orthomodular lattices carries over naturally.
ISSN:1367-0751
1368-9894
DOI:10.1093/jigpal/jzae076