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math.RA2019
Matrix semigroups over semirings
Victoria Gould, Marianne Johnson, Munazza Naz
The multiplicative semigroup of matrices over a field is well understood, in particular, it is a regular semigroup. This paper considers semigroups of the…
math.RA2019
Tropical representations and identities of plactic monoids
Marianne Johnson, Mark Kambites
We exhibit a faithful representation of the plactic monoid of every finite rank as a monoid of upper triangular matrices over the tropical semiring. This answers a question first p…