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Tropical polynomial algebras

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Publication:395369
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DOI10.5802/ambp.328zbMath1311.14060OpenAlexW2730009198MaRDI QIDQ395369

Dominique Castella

Publication date: 29 January 2014

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.5802/ambp.328


zbMATH Keywords

polynomial algebratropical geometrytropical algebraidempotent semi-fields


Mathematics Subject Classification ID

Semifields (12K10) Semirings (16Y60) Relevant commutative algebra (14A05)


Related Items

The arithmetic site ⋮ Kernels in tropical geometry and a Jordan–Hölder theorem



Cites Work

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  • On a tropical dual Nullstellensatz
  • Absolute algebra. II: Ideals and spectra
  • Elements of tropical linear algebra
  • Tropical resultants for curves and stable intersection
  • Decomposition into pairs-of-pants for complex algebraic hypersurfaces
  • Supertropical algebra
  • Krull-tropical hypersurfaces
  • TROPICAL ALGEBRAIC SETS, IDEALS AND AN ALGEBRAIC NULLSTELLENSATZ
  • The Tropical Rank of a Tropical Matrix
  • A tropical nullstellensatz
  • Idempotent Mathematics and Mathematical Physics
  • Tropical algebraic geometry


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