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2009.74: Multiplicative structure of 2x2 tropical matrices

2009.74: Marianne Johnson and Mark Kambites (2009) Multiplicative structure of 2x2 tropical matrices.

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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 2000 > 06 Order, lattices, ordered algebraic structures
MSC 2000 > 20 Group theory and generalizations
MSC 2000 > 51 Geometry (See also algebraic geometry)
MIMS number:2009.74
Deposited By:Dr Marianne Johnson
Deposited On:15 October 2009

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