L-mosaics and orthomodular lattices

• URL: http://arxiv.org/abs/2501.14793v1
• Date: Fri, 10 Jan 2025 19:01:10 GMT
• Title: L-mosaics and orthomodular lattices
• Authors: Nicolò Cangiotti, Alessandro Linzi, Enrico Talotti,
• Abstract summary: We introduce a class of hypercompositional structures called dualizable L-mosaics. We prove that their category is equivalent to that formed by ortholattices.
• Score: 44.99833362998488
• License:
• Abstract: In this paper, we introduce a class of hypercompositional structures called dualizable L-mosaics. We prove that their category is equivalent to that formed by ortholattices and we formulate an algebraic property characterizing orthomodularity, suggesting possible applications to quantum logic.

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