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math.RA2024★ 2 cited
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…
math.RA2024
Pretzel monoids
Daniel Heath, Mark Kambites, Nóra Szakács
We introduce an interesting class of left adequate monoids which we call pretzel monoids. These, on the one hand, are monoids of birooted graphs with respect to a natural `glue-and…