30 citations · 175 across the 46 of their papers we have counts for
55 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…
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…
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…
The growth of free inverse monoids
Mark Kambites, Carl-Fredrik Nyberg-Brodda, Nóra Szakács +1
We compute the rate of exponential growth of the free inverse monoid of rank (and hence an upper bound on the corresponding rate for all -generated inverse monoids and semig…
Pretzel monoids
Daniel Heath, Mark Kambites, Nóra Szakács
We introduce an interesting class of left adequate monoids which we call pretzel monoids. These, on the one hand, are monoids of birooted graphs with respect to a natural `glue-and…
Translational hulls of semigroups of endomorphisms of an algebra
Victoria Gould, Ambroise Grau, Marianne Johnson +1
We consider the translational hull of an arbitrary subsemigroup of an endomorphism monoid where is a universal algebra. We give conditions for ever…