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math.LO2024★ 3 cited
On the structure of balanced residuated partially ordered monoids
Stefano Bonzio, José Gil-Férez, Peter Jipsen +2
A residuated poset is a structure where is a poset and is a monoid such that the re…
math.LO2023
Locally Integral Involutive PO-Semigroups
José Gil-Férez, Peter Jipsen, Melissa Sugimoto
We show that every locally integral involutive partially ordered semigroup (ipo-semigroup) , and in particular every locally integral involutive…
math.LO2022
Varieties of unary-determined distributive -magmas and bunched implication algebras
Natanael Alpay, Peter Jipsen, Melissa Sugimoto
A distributive lattice-ordered magma (-magma) is a distributive lattice with a binary operation that preserves joins in both arguments, and w…