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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
A new approach to the grammic monoid
Marianne Johnson, António Malheiro
We give an alternative description of the grammic monoid in terms of weakly increasing subsequences. Specifically, we show that words in the generators dete…
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…