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math.LO2025
The associative-poset point of view on right regular bands
Joel Kuperman, Pedro Sánchez Terraf
We present two results on the relation between the class of right regular bands (RRBs) and their underlying *associative posets*. The first one is a construction of a left adjoint…
math.LO2024
Definability of band structures on posets
Joel Kuperman, Alejandro Petrovich, Pedro Sánchez Terraf
The idempotent semigroups (bands) that give rise to partial orders by defining are the "right-regular" bands (RRB), which are axiomatized by $x\cdot y…