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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.RA2026
Finite-field Krasner quotients: isomorphism thresholds, characteristics, and censuses
Alessandro Linzi
We study Krasner quotient hyperfields arising from finite fields, , where has index . Building on the structure theorem of Baker--Jin, we determine…