Quasilinear convexity and quasilinear stars in the ray space of a supertropical quadratic form

DOI10.1080/03081087.2019.1583164zbMath1468.16058arXiv1807.02768OpenAlexW2834918661WikidataQ114641275 ScholiaQ114641275MaRDI QIDQ5145074

Manfred Knebusch, Zur Izhakian

Publication date: 19 January 2021

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

Full work available at URL: https://arxiv.org/abs/1807.02768

zbMATH Keywords

convex setsquadratic formsbilinear formsquadratic pairstropical algebrasupertropical modulesCauchy-Schwarz ratioquasilinear setsray spaces

Mathematics Subject Classification ID

Semirings (16Y60) Inverse semigroups (20M18) Max-plus and related algebras (15A80) Foundations of tropical geometry and relations with algebra (14T10)

Related Items (2)

Amalgamation and extensions of summand absorbing modules over a semiring ⋮ Cauchy–Schwarz functions and convex partitions in the ray space of a supertropical quadratic form

Cites Work

• 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 matrix algebra
• Supertropical semirings and supervaluations
• Supertropical matrix algebra. III: Powers of matrices and their supertropical eigenvalues
• Supertropical quadratic forms. I.
• Decompositions of modules lacking zero sums
• Supertropical matrix algebra. II: Solving tropical equations
• Supertropical algebra
• Tropical Arithmetic and Matrix Algebra
• The Tropical Rank of a Tropical Matrix
• Supertropical quadratic forms II: Tropical trigonometry and applications

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