Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4600866 | Linear Algebra and its Applications | 2011 | 14 Pages |
Abstract
We study the algebraic structure of the semigroup of all 2×2 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.
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory