28 citations · 81 across the 14 of their papers we have counts for
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math.RA2011★ 28 cited
Pure Dimension and Projectivity of Tropical Polytopes
Zur Izhakian, Marianne Johnson, Mark Kambites
We study how geometric properties of tropical convex sets and polytopes, which are of interest in many application areas, manifest themselves in their algebraic structure as module…
math.RT2011
Lie powers of the natural module for GL(2,K)
Karin Erdmann, Marianne Johnson
In recent work of R. M. Bryant and the second author a (partial) modular analogue of Klyachko's 1974 result on Lie powers of the natural was presented. There is was…
math.RA2011
Green's J-order and the rank of tropical matrices
Marianne Johnson, Mark Kambites
We study Green's J-order and J-equivalence for the semigroup of all n-by-n matrices over the tropical semiring. We give an exact characterisation of the J-order, in terms of morphi…