Abstract Vergleichsstellensätze for Preordered Semifields and Semirings I

DOI10.1137/22m1498413arXiv2003.13835OpenAlexW4382679474MaRDI QIDQ6116680

Tobias Fritz

Publication date: 16 August 2023

Published in: SIAM Journal on Applied Algebra and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2003.13835

zbMATH Keywords

real algebraordered semiringabstract Positivstellensatztropical algebra.Vergleichsstellensatz

Mathematics Subject Classification ID

Semialgebraic sets and related spaces (14P10) Semifields (12K10) Semirings (16Y60) Ordered rings, algebras, modules (06F25) Topological and ordered rings and modules (16W80)

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Abstract Vergleichsstellensätze for Preordered Semifields and Semirings I

Cites Work

• Geometry in the tropical limit
• Zum Darstellungssatz von Kadison-Dubois
• A unified construction of semiring-homomorphic graph invariants
• Probabilistic refinement of the asymptotic spectrum of graphs
• A generalization of Strassen's theorem on preordered semirings
• The asymptotic spectrum of graphs and the Shannon capacity
• On the Relationship between Zero-sums and Zero-divisors of Semirings
• Positive polynomials and product type actions of compact groups
• The asymptotic spectrum of tensors.
• The Semiring of Dichotomies and Asymptotic Relative Submajorization
• A generalization of Strassen’s Positivstellensatz
• Resource convertibility and ordered commutative monoids
• Abstract Vergleichsstellensätze for Preordered Semifields and Semirings I
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