2009.74: Multiplicative structure of 2x2 tropical matrices
2009.74: Marianne Johnson and Mark Kambites (2009) Multiplicative structure of 2x2 tropical matrices.
Full text available as:
|PDF - Requires a PDF viewer such as GSview, Xpdf or Adobe Acrobat Reader|
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|
Electronic version also available at arXiv:0907.0314v1.
|Subjects:||MSC 2000 > 06 Order, lattices, ordered algebraic structures|
MSC 2000 > 20 Group theory and generalizations
MSC 2000 > 51 Geometry (See also algebraic geometry)
|Deposited By:||Dr Marianne Johnson|
|Deposited On:||15 October 2009|