12 citations · 15 across the 3 of their papers we have counts for
4 papers
Partial mirror symmetry, lattice presentations and algebraic monoids
Brent Everitt, John Fountain
This is the second in a series of papers that develops the theory of reflection monoids, motivated by the theory of reflection groups. Reflection monoids were first introduced in a…
Partial symmetry, reflection monoids and Coxeter groups
Brent Everitt, John Fountain
This is the first of a series of papers in which we initiate and develop the theory of reflection monoids, motivated by the theory of reflection groups. The main results identify a…
Graph products of right cancellative monoids
John Fountain, Mark Kambites
Our first main result shows that a graph product of right cancellative monoids is itself right cancellative. If each of the component monoids satisfies the condition that the inter…
Partial mirror symmetry I: reflection monoids
Brent Everitt, John Fountain
This is the first of a series of papers in which we initiate and develop the theory of reflection monoids, motivated by the theory of reflection groups. The main results identify a…