3 papers
math.RA2020
Minimal generating sets for matrix monoids
F. Hivert, J. D. Mitchell, F. L. Smith +1
In this paper, we determine minimal generating sets for several well-known monoids of matrices over semirings. In particular, we find minimal generating sets for the monoids consis…
math.RA2020
Generating the monoid of matrices over max-plus and min-plus semirings
James East, Julius Jonušas, J. D. Mitchell
In this short note, we describe generating sets for the monoids of consisting of all matrices over certain finite tropical semirings.
math.GR2018
Topological Transformation Monoids
Z. Mesyan, J. D. Mitchell, Y. H. Péresse
We investigate semigroup topologies on the full transformation monoid T(X) of an infinite set X. We show that the standard pointwise topology is the weakest Hausdorff semigroup top…