Mathematics – Group Theory
Scientific paper
2009-07-02
Mathematics
Group Theory
21 pages, 5 figures
Scientific paper
We study the algebraic structure of the semigroup of all $2 \times 2$
tropical matrices under multiplication. Using ideas from tropical geometry, we
give a complete description of Green's relations and the idempotents and
maximal subgroups of this semigroup.
Johnson Marianne
Kambites Mark
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