Alessandro Linzi

activity

20192026

most citedHypervaluations on hyperfields and ordered canonical hypergroups

2 citations · 3 across the 8 of their papers we have counts for

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math.RA2026

Finite-field Krasner quotients: isomorphism thresholds, characteristics, and censuses

Alessandro Linzi

We study Krasner quotient hyperfields arising from finite fields, $F_{q} / G_{r}$ , where $G_{r} \leq F_{q}^{\times}$ has index $r$ . Building on the structure theorem of Baker--Jin, we determine…

math.RA2022★ 1 cited

On the hyperfields associated to valued fields

Alessandro Linzi, Pierre Touchard

One can associate to a valued field an inverse system of valued hyperfields $(H_{i})_{i \in I}$ in a natural way. We investigate when, conversely, such a system arise from…