Tropical Ideals
1 : Warwick Mathematics Institute 
                                (WMI)
                            
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Mathematics Institute, Zeeman Building, The University of Warwick, Coventry CV4 7AL, United Kingdom - 
                               Royaume-Uni
2 : Department of Mathematics, University of Oslo
We introduce and study a special class of ideals over the semiring of tropical polynomials, which we call
tropical ideals, with the goal of developing a useful and solid algebraic foundation for tropical geometry. We explore
their rich combinatorial structure, and prove that they satisfy numerous properties analogous to classical ideals.
- Poster


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