Melissa Sugimoto

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20242026

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math.LO2025

Locally Integral Involutive PO-Semigroups

JosÃ© Gil-FÃ©rez, Peter Jipsen, Melissa Sugimoto

We show that every locally integral involutive partially ordered semigroup (ipo-semigroup) $A = (A, \leq, \cdot, \sim, -)$ , and in particular every locally integral involutive…

math.LO2024

On the structure of balanced residuated partially ordered monoids

A residuated poset is a structure $⟨ A, \leq, \cdot, \, /, 1 ⟩$ where $⟨ A, \leq ⟩$ is a poset and $⟨ A, \cdot, 1 ⟩$ is a monoid such that the re…