Diane Maclagan ; Felipe Rincón - Tropical Ideals

dmtcs:6358 - Discrete Mathematics & Theoretical Computer Science, April 22, 2020, DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016) - https://doi.org/10.46298/dmtcs.6358
Tropical IdealsConference paper

Authors: Diane Maclagan 1; Felipe Rincón 2


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 properties analogous to classical ideals.

https://doi.org/10.46298/dmtcs.6358
Source: HAL:hal-02168123v1
Volume: DMTCS Proceedings, 28th International Conference on Formal Power Series and Algebraic Combinatorics (FPSAC 2016)
Published on: April 22, 2020
Imported on: July 4, 2016
Keywords: [MATH.MATH-CO]Mathematics [math]/Combinatorics [math.CO]
Funding:
    Source : OpenAIRE Graph
  • Matroids in tropical geometry; Funder: The Research Council of Norway; Code: 239968
  • Tropical Geometry; Funder: UK Research and Innovation; Code: EP/I008071/1

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