Formally real rings and their real closure

DOI10.1007/BF00113916zbMath0856.13003OpenAlexW2041809745MaRDI QIDQ1912681

K. Varadarajan, N. Sankaran

Publication date: 24 February 1997

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf00113916

zbMATH Keywords

rings of continuous functionsreal closurefactorization of monic polynomialsformally real integral domainsformally real ringtight ring extension

Mathematics Subject Classification ID

Integral closure of commutative rings and ideals (13B22) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Topological rings and modules (13J99)

Related Items (5)

On real closed rings of higher level ⋮ Real closed rings and real closed \(\ast\) rings ⋮ Stellensätze for matrices over a commutative ring ⋮ ON SEMIREAL CLOSED RINGS ⋮ Henselian valuations and orderings of a commutative ring

Cites Work

• Unnamed Item
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• On algebraic closures
• Totally integrally closed rings and extremal spaces
• Totally Integrally Closed Rings
• Rings of Continuous Functions and Totally Integrally Closed Rings
• Algebraic Extensions of Commutative Regular Rings
• Intrinsic extensions of rings

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