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math.GR2019
The algebra of rewriting for presentations of inverse monoids
N. D. Gilbert, E. A. McDougall
We describe a formalism, using groupoids, for the study of rewriting for presentations of inverse monoids, that is based on the Squier complex construction for monoid presentations…
math.GR2019★ 2 cited
Groupoids and the algebra of rewriting in group presentations
N. D. Gilbert, E. A. McDougall
Presentations of groups by rewriting systems (that is, by monoid presentations), have been fruitfully studied by encoding the rewriting system in a --complex -- the Squier compl…
math.GR2017★ 1 cited
Cohomology and extensions of ordered groupoids
B. O. Bainson, N. D. Gilbert
We adapt and generalise results of Loganathan on the cohomology of inverse semigroups to the cohomology of ordered groupoids. We then derive a five-term exact sequence in cohomolog…