Supertropical quadratic forms II: Tropical trigonometry and applications

DOI10.1142/S021819671840012XzbMath1451.14175OpenAlexW2883524443WikidataQ129459415 ScholiaQ129459415MaRDI QIDQ4611344

Zur Izhakian, Manfred Knebusch, Louis Halle Rowen

Publication date: 18 January 2019

Published in: International Journal of Algebra and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s021819671840012x

zbMATH Keywords

quadratic formsbilinear formsquadratic pairstropical algebrasupertropical modulessupertropicalizationCS-ratio

Mathematics Subject Classification ID

Near-rings (16Y30) Semifields (12K10) Inverse semigroups (20M18) Max-plus and related algebras (15A80) Applications of tropical geometry (14T90) Foundations of tropical geometry and relations with algebra (14T10)

Related Items (4)

Unnamed Item ⋮ Subordinate quadratic forms and isometric maps over semirings ⋮ Quasilinear convexity and quasilinear stars in the ray space of a supertropical quadratic form ⋮ Cauchy–Schwarz functions and convex partitions in the ray space of a supertropical quadratic form

Cites Work

• Unnamed Item
• Minimal orderings and quadratic forms on a free module over a supertropical semiring
• Quadratic and symmetric bilinear forms on modules with unique base over a semiring
• Supertropical linear algebra
• Supertropical semirings and supervaluations
• Supertropical quadratic forms. I.
• Specialization of quadratic and symmetric bilinear forms. Transl. by Thomas Unger
• Supertropical algebra
• Dominance and Transmissions in Supertropical Valuation Theory

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