Resultants over commutative idempotent semirings. I: Algebraic aspect

DOI10.1016/j.jsc.2016.02.009zbMath1360.16041arXiv1505.06470OpenAlexW2226343813WikidataQ57427296 ScholiaQ57427296MaRDI QIDQ507140

Yonggu Kim, Hoon Hong, Georgy Scholten, Juan Rafael Sendra

Publication date: 3 February 2017

Published in: Journal of Symbolic Computation (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.06470

zbMATH Keywords

Sylvester matrixpermanentresultanttropical algebracommutative idempotent semiring

Mathematics Subject Classification ID

Semifields (12K10) Semirings (16Y60) Solving polynomial systems; resultants (13P15)

Related Items

Cozero Divisor Graph of a Commutative Rough Semiring

Uses Software

• Maple

Cites Work

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• Supertropical polynomials and resultants
• Tropical resultants for curves and stable intersection
• Sylvester's double sums: the general case
• Introduction to commutative algebra and algebraic geometry. Transl. from the German by Michael Ackerman. With a preface by David Mumford
• Supertropical algebra
• The tropical resultant
• Computing tropical resultants
• Graphs, dioids and semirings. New models and algorithms.
• Bruno Buchberger's PhD thesis 1965: An algorithm for finding the basis elements of the residue class ring of a zero dimensional polynomial ideal. Translation from the German
• Computing tropical varieties
• Tropical and Idempotent Mathematics and Applications
• Max-linear Systems: Theory and Algorithms
• Tropical discriminants
• Combinatorial types of tropical eigenvectors
• Tropical geometry of statistical models
• A Bit of Tropical Geometry
• On definition for commutative idempotent semirings
• Tropical algebraic geometry