Minimal orderings and quadratic forms on a free module over a supertropical semiring

DOI10.1016/j.laa.2016.06.001zbMath1420.15017OpenAlexW2443136801MaRDI QIDQ306477

Manfred Knebusch, Zur Izhakian, Louis Halle Rowen

Publication date: 31 August 2016

Published in: Linear Algebra and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.laa.2016.06.001

zbMATH Keywords

quadratic formsbilinear formsvarietiesquadratic pairstropical algebrasupertropical modulessupertropicalization

Mathematics Subject Classification ID

Algebraic theory of quadratic forms; Witt groups and rings (11E81) Semifields (12K10) Semirings (16Y60) Quadratic and bilinear forms, inner products (15A63) Max-plus and related algebras (15A80)

Related Items

Unnamed Item ⋮ Subordinate quadratic forms and isometric maps over semirings ⋮ Supertropical quadratic forms II: Tropical trigonometry and applications ⋮ Quasilinear convexity and quasilinear stars in the ray space of a supertropical quadratic form ⋮ Basic operations on supertropical quadratic forms ⋮ Cauchy–Schwarz functions and convex partitions in the ray space of a supertropical quadratic form

Cites Work

• Unnamed Item
• Quadratic and symmetric bilinear forms on modules with unique base over a semiring
• Supertropical linear algebra
• Supertropical semirings and supervaluations
• On invertible matrices over antirings
• Supertropical quadratic forms. I.
• Invertible and nilpotent matrices over antirings
• Supertropical algebra
• Tropical Arithmetic and Matrix Algebra

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