2 papers
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.GR2014
Ordered groupoids and the holomorph of an inverse semigroup
N. D. Gilbert, E. A. McDougall
We present a construction for the holomorph of an inverse semigroup, derived from the cartesian closed structure of the category of ordered groupoids. We compare the holomorph with…