4 papers
Faithful linear and relational representations of diagram categories and monoids
James East, Marianne Johnson, Mark Kambites
We study representations of diagram categories by binary relations and matrices over rings and semirings. Our main result is a faithful involutive tensor representation of the part…
The large scale geometry of inverse semigroups and their maximal group images
Mark Kambites, Nóra Szakács
The geometry of inverse semigroups is a natural topic of study, motivated both from within semigroup theory and by applications to the theory of non-commutative -algebras. We…
Free inverse monoids are co-context-free
Tara Macalister Brough, Marianne Johnson, Mark Kambites +1
We prove (using grammars) that the free inverse monoid of every finite rank has co-context-free word problem. Equivalently, the co-word problem of the free inverse monoid of every…
Subgroups of -unitary and -injective special inverse monoids
Robert D. Gray, Mark Kambites
We continue the study of the structure of general subgroups (in particular maximal subgroups, also known as group -classes) of special inverse monoids. Recent research…