Polynomial bounds in polynomial rings over fields

DOI10.1016/0021-8693(89)90299-8zbMath0715.13016OpenAlexW2075776007MaRDI QIDQ752093

Karsten Schmidt-Göttsch

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1016/0021-8693(89)90299-8

zbMATH Keywords

system of linear equationsideal in the polynomial ringnon-standard set theoryprimality criterion

Mathematics Subject Classification ID

Polynomial rings and ideals; rings of integer-valued polynomials (13F20) Equations in general fields (12E12) Nonstandard arithmetic and field theory (12L15)

Related Items

Height bounds, nullstellensatz and primality ⋮ Ideal membership in polynomial rings over the integers ⋮ Explicit polynomial bounds on prime ideals in polynomial rings over fields

Cites Work

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• Bounds in the theory of polynomial rings over fields. A nonstandard approach
• Bounds for the degrees in the Nullstellensatz
• The complexity of the word problems for commutative semigroups and polynomial ideals
• Constructions in Algebra
• Nonstandard arithmetic of function fields over H-convex subfields of *Q.