On the Pythagoras numbers of real analytic rings

DOI10.1006/jabr.2001.8869zbMath1065.14070OpenAlexW2042569416MaRDI QIDQ5949424

José F. Fernando

Publication date: 2 March 2003

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

Full work available at URL: https://doi.org/10.1006/jabr.2001.8869

Mathematics Subject Classification ID

Real algebraic sets (14P05) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Real algebra (13J30)

Related Items

On the Pythagoras numbers of real analytic set germs ⋮ Sums of squares in real rings ⋮ Positive semidefinite analytic functions on real analytic surfaces ⋮ Analytic surface germs with minimal Pythagoras number ⋮ On the positive extension property and Hilbert's 17th problem for real analytic sets ⋮ Representation of positive semidefinite elements as sum of squares in 2-dimensional local rings

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