Dominance and Transmissions in Supertropical Valuation Theory

DOI10.1080/00927872.2012.688153zbMath1283.13003arXiv1102.1520OpenAlexW2963212095MaRDI QIDQ2842333

Zur Izhakian, Manfred Knebusch, Louis Halle Rowen

Publication date: 13 August 2013

Published in: Communications in Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1520

zbMATH Keywords

latticesvaluation theorysupertropical algebrasupervaluationssupertropical semiringsbipotent semiringsmonoid valuationstransmissive and homomorphic equivalence relations

Mathematics Subject Classification ID

Valuations, completions, formal power series and related constructions (associative rings and algebras) (16W60) Logical aspects of lattices and related structures (03G10) Complete lattices, completions (06B23) Valuations and their generalizations for commutative rings (13A18) Valuation rings (13F30) Semifields (12K10) Semirings (16Y60)

Related Items

Supertropical quadratic forms. I. ⋮ Supertropical monoids: basics and canonical factorization ⋮ Layered tropical mathematics ⋮ Unnamed Item ⋮ Subordinate quadratic forms and isometric maps over semirings ⋮ Supertropical semirings and supervaluations ⋮ Supertropical quadratic forms II: Tropical trigonometry and applications ⋮ Basic operations on supertropical quadratic forms ⋮ Monoid Valuations and Value Ordered Supervaluations

Cites Work

• Unnamed Item
• Supertropical monoids: basics and canonical factorization
• Supertropical matrix algebra
• Supertropical polynomials and resultants
• Supertropical semirings and supervaluations
• Supertropical algebra
• Tropical Arithmetic and Matrix Algebra
• Tropical algebraic geometry