Stellensätze for matrices over a commutative ring

DOI10.1142/S0219498817500323zbMath1360.13057MaRDI QIDQ2965716

Xiaoning Zeng, Shuijing Xiao, Guangxing Zeng

Publication date: 3 March 2017

Published in: Journal of Algebra and Its Applications (Search for Journal in Brave)

zbMATH Keywords

eigenvaluePositivstellensatzreal closurereal NullstellensatzNichtnegativstellensatzmatrix over a commutative ringordered extension ring

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Algebraic systems of matrices (15A30) Ordered rings (13J25) Real algebra (13J30)

Cites Work

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• A Nullstellensatz and a Positivstellensatz in semialgebraic geometry
• The basic theory of real closed spaces
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• Totally Integrally Closed Rings

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