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math.CT2026
Valued Mosaics
Alessandro Linzi
Nakamura--Reyes showed that the category of commutative mosaics---unital reversible hypermagmas, without associativity---is complete, cocomplete, and has free objects, in contrast…
math.CT2025
L-mosaics and orthomodular lattices
Nicolò Cangiotti, Alessandro Linzi, Enrico Talotti
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…