Johnson, Marianne and Kambites, Mark (2009) Multiplicative structure of 2x2 tropical matrices. [MIMS Preprint]
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Abstract
We study the algebraic structure of the semigroup of all 2x2 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.
| Item Type: | MIMS Preprint |
|---|---|
| Additional Information: | Electronic version also available at arXiv:0907.0314v1. |
| Uncontrolled Keywords: | CICADA |
| Subjects: | MSC 2010, the AMS's Mathematics Subject Classification > 06 Order, lattices, ordered algebraic structures MSC 2010, the AMS's Mathematics Subject Classification > 20 Group theory and generalizations MSC 2010, the AMS's Mathematics Subject Classification > 51 Geometry (See also algebraic geometry) |
| Depositing User: | Dr Marianne Johnson |
| Date Deposited: | 15 Oct 2009 |
| Last Modified: | 08 Nov 2017 18:18 |
| URI: | https://eprints.maths.manchester.ac.uk/id/eprint/1335 |
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