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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…