30 citations · 175 across the 46 of their papers we have counts for
29 papers · 1 filter
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…
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…
Representations and identities of plactic-like monoids
Alan J. Cain, Marianne Johnson, Mark Kambites +1
We exhibit faithful representations of the hypoplactic, stalactic, taiga, sylvester, Baxter and right patience sorting monoids of each finite rank as monoids of upper triangular ma…
Permutability of Matrices over Bipotent Semirings
Thomas Aird, Mark Kambites
We study permutability properties of matrix semigroups over commutative bipotent semirings (of which the best-known example is the tropical semiring). We prove that every such semi…
Linear functions preserving Green's relations over fields
Alexander Guterman, Marianne Johnson, Mark Kambites +1
We study linear functions on the space of matrices over a field which preserve or strongly preserve each of Green's equivalence relations (, …