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math.RA2025
Growth and identities of monogenic free adequate monoids
Thomas Aird, Daniel Heath
Motivated by recent advances in inverse semigroup theory, we investigate the growth of and identities satisfied by free left and free two-sided adequate monoids. We explicitly comp…
math.RA2025
A collection of cancellative, singly aligned, non-embeddable monoids
Milo Edwardes, Daniel Heath
By classical results of Malcev, cancellative monoids need not be group-embeddable. In this paper, we describe and give presentations for and study an infinite family $\mathcal{M}_n…