1 citations · 1 across the 4 of their papers we have counts for
6 papers
Some étale groupoids as groupoids of fractions
Mark V. Lawson
Given a monoid that can be embedded in a group and that acts partially on a set, we show that under certain conditions the category associated with the partial action has a groupoi…
Finitary Cartesian closed varieties and semigroup actions
Mark V Lawson
We build on some ideas of Richard Garner. Let be a monoid and a Boolean algebra. A `matched pair' consists of and and some mutual interactions. Garner showe…
The structure of étale Boolean right restriction monoids
Mark V. Lawson
In this paper, we describe étale Boolean right restriction monoids in terms of Boolean inverse monoids.
Generalizations of free monoids
M. V. Lawson, A. Vdovina
We generalize free monoids by defining -monoids. These are nothing other than the one-vertex higher-rank graphs used in -algebra theory with the cardinality requiremen…
Morita equivalence of inverse semigroups
B Afara, M V Lawson
We describe how to construct all inverse semigroups Morita equivalent to a given inverse semigroup. This is done by taking the maximum inverse images of the regular Rees matrix sem…
Generalized heaps, inverse semigroups and Morita equivalence
M V Lawson
Inverse semigroups are the abstract counterparts of pseudogroups of transformations. The abstract counterparts of atlases in differential geometry are what Wagner termed `generaliz…