J. D. Mitchell

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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 $2 \times 2$ 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 $2 \times 2$ matrices over certain finite tropical semirings.

Minimal generating sets for matrix monoids

Generating the monoid of 2×2 matrices over max-plus and min-plus semirings

Generating the monoid of $2 \times 2$ matrices over max-plus and min-plus semirings