Hilbert's Nullstellensatz revisited

DOI10.1016/0022-4049(88)90035-7zbMath0666.18004OpenAlexW2015964401MaRDI QIDQ1117017

W. A. MacCaull

Publication date: 1988

Published in: Journal of Pure and Applied Algebra (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-4049(88)90035-7

zbMATH Keywords

Hilbert's Nullstellensatzgeometric fieldring objectsheaves on a topological space

Mathematics Subject Classification ID

Categorical logic, topoi (03G30) Topoi (18B25) Nonclassical models (Boolean-valued, sheaf, etc.) (03C90)

Related Items

Positive definite functions over regular f-rings and representations as sums of squares

Cites Work

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• Positive definite functions over regular f-rings and representations as sums of squares
• Completeness results for intuitionistic and modal logic in a categorical setting
• On the validity of hilbert's nullstellensatz, artin's theorem, and related results in grothendieck toposes
• On the transfer of an abstract nullstellensatz
• Artin-Schreier theory for commutative regular rings
• Sheaves and Boolean valued model theory
• Modules over commutative regular rings
• Elementary intuitionistic theories