Supertropical quadratic forms. I.

DOI10.1016/j.jpaa.2015.05.043zbMath1391.15080arXiv1309.5729OpenAlexW2963281046MaRDI QIDQ886953

Zur Izhakian, Manfred Knebusch, Louis Halle Rowen

Publication date: 27 October 2015

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1309.5729

zbMATH Keywords

quadratic formquasilinearsemiringrigidtropicalcompanion bilinear formsupertropical

Mathematics Subject Classification ID

Related Items (12)

Minimal orderings and quadratic forms on a free module over a supertropical semiring ⋮ Unnamed Item ⋮ Subordinate quadratic forms and isometric maps over semirings ⋮ Clifford semialgebras ⋮ Supertropical quadratic forms II: Tropical trigonometry and applications ⋮ Symmetric polynomials in upper-bound semirings ⋮ Symmetric polynomials in tropical algebra semirings ⋮ Quasilinear convexity and quasilinear stars in the ray space of a supertropical quadratic form ⋮ Basic operations on supertropical quadratic forms ⋮ Grassmann semialgebras and the Cayley-Hamilton theorem ⋮ Cauchy–Schwarz functions and convex partitions in the ray space of a supertropical quadratic form ⋮ Algebras with a negation map

Cites Work

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• Supertropical linear algebra
• Supertropical matrix algebra
• Supertropical semirings and supervaluations
• Supertropical matrix algebra. III: Powers of matrices and their supertropical eigenvalues
• Specialization of quadratic and symmetric bilinear forms. Transl. by Thomas Unger
• Supertropical matrix algebra. II: Solving tropical equations
• Supertropical algebra
• Dominance and Transmissions in Supertropical Valuation Theory
• Linear independence over tropical semirings and beyond
• Tropical and Idempotent Mathematics
• Max-linear Systems: Theory and Algorithms
• Tropical Arithmetic and Matrix Algebra
• The Tropical Rank of a Tropical Matrix
• Tropical and Idempotent Mathematics and Applications
• Dual spaces and bilinear forms in supertropical linear algebra
• Monoid Valuations and Value Ordered Supervaluations
• Summands of Separable Abelian Groups: Dedicated to Paul Turán on his 60th Birthday
• Tropical algebraic geometry

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