L-mosaics and orthomodular lattices

Published 10 Jan 2025 in math.CT and quant-ph | (2501.14793v1)

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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