Multiplicative structure of 2x2 tropical matrices

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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