Tropical Ideals

We introduce and study a special class of ideals over the semiring of tropical polynomials, which we calltropical ideals, with the goal of developing a useful and solid algebraic foundation for tropical geometry. We exploretheir rich combinatorial structure, and prove that they satisfy numerous prop...

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Bibliographic Details
Main Authors: Diane Maclagan, Felipe Rincón
Format: Article
Language:English
Published: Discrete Mathematics & Theoretical Computer Science 2020-04-01
Series:Discrete Mathematics & Theoretical Computer Science
Subjects:
Online Access:https://dmtcs.episciences.org/6358/pdf