26 citations · 59 across the 30 of their papers we have counts for
36 papers
Introduction to inverse semigroups
Mark V. Lawson
This is an account of the theory of inverse semigroups, assuming only that the reader knows the basics of semigroup theory.
An adjunction between a category of complete restriction monoids and a category of étale categories
Mark V. Lawson
We prove that there is an adjunction between what we call étale topological categories and restriction quantal frames that leads to an adjunction with a category of complete restri…
Non-commutative Stone duality
Mark V. Lawson
We show explicitly that Boolean inverse semigroups are in duality with what we term Boolean groupoids. This generalizes the classical Stone duality, which we refer to as commutativ…
Characterizations of classes of countable Boolean inverse monoids
Mark V. Lawson, Philip Scott
A countably infinite Boolean inverse monoid that can be written as an increasing union of finite Boolean inverse monoids (suitably embedded) is said to be of finite type. Borrowing…
A generalization of higher rank graphs
M. V. Lawson, A. Vdovina
We introduce what we call `generalized higher rank -graphs' as a class of categories equipped with a notion of size. They extend not only the higher rank -graphs, but also th…
Finite and semisimple Boolean inverse monoids
Mark V. Lawson
We describe the structure of finite Boolean inverse monoids and apply our results to the representation theory of finite inverse semigroups. We then generalize to semisimple Boolea…