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math.RA2026
Left Ehresmann monoids with a proper basis
Gracinda Gomes, Victoria Gould, Yanhui Wang
Left Ehresmann monoids, and their two-sided counterpart of Ehresmann monoids, were so named by Lawson, who elucidated their connection to the work of Ehresmann in differential geom…
math.RA2025
Subset expansions of monoids
Victoria Gould, Marianne Johnson
We initiate the study of the expansion of a monoid obtained via the semidirect product of acting naturally on the left of its power set (regarded as a semi…
math.RA2025
Forbidden configurations for coherency
Victoria Gould, Marianne Johnson
Right (and left) coherency and right (and left) weak coherency are natural finitary conditions for monoids. Determining whether or not a given monoid has any of these properties is…