27 citations · 86 across the 17 of their papers we have counts for
4 papers · 1 filter
General affine adjunctions, Nullstellensätze, and dualities
Olivia Caramello, Vincenzo Marra, Luca Spada
We introduce and investigate a category-theoretic abstraction of the standard "system-solution" adjunction in affine algebraic geometry. We then look further into these geometric a…
From Freudenthal's Spectral Theorem to projectable hulls of unital Archimedean lattice-groups, through compactifications of minimal spectra
Richard N. Ball, Vincenzo Marra, Daniel McNeill +1
We use a landmark result in the theory of Riesz spaces - Freudenthal's 1936 Spectral Theorem - to canonically represent any Archimedean lattice-ordered group with a strong unit…
An Analysis of Ruspini Partitions in Gödel Logic
Pietro Codara, Ottavio M. D'Antona, Vincenzo Marra
By a Ruspini partition we mean a finite family of fuzzy sets , , such that for all , where …
Valuations in Gödel Logic, and the Euler Characteristic
Pietro Codara, Ottavio M. D'Antona, Vincenzo Marra
Using the lattice-theoretic version of the Euler characteristic introduced by V. Klee and G.-C. Rota in the Sixties, we define the Euler characteristic of a formula in Gödel logic…