Abstract
We show that being finitely presentable and being finitely presentable with solvable word problem are quasi-isometry invariants of finitely generated left cancellative monoids. Our main tool is an elementary, but useful, geometric characterization of finite presentability for left cancellative monoids. We also give examples to show that this characterization does not extend to monoids in general, and indeed that properties such as solvable word problem are not isometry invariants for general monoids.
Original language | English |
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Pages (from-to) | 1099-1114 |
Number of pages | 16 |
Journal | International Journal of Algebra and Computation |
Volume | 23 |
Issue number | 5 |
DOIs | |
Publication status | Published - Aug 2013 |