Sums of squares in real analytic rings

DOI10.1090/S0002-9947-02-02956-2zbMath0987.13017OpenAlexW1815027133MaRDI QIDQ2781391

José F. Fernando

Publication date: 19 March 2002

Published in: Transactions of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9947-02-02956-2

zbMATH Keywords

Pythagoras numbersum of squarespositive semidefinite elementanalytic ring

Mathematics Subject Classification ID

Sums of squares and representations by other particular quadratic forms (11E25) Real-analytic and semi-analytic sets (14P15) Real algebra (13J30) Analytic algebras and generalizations, preparation theorems (32B05)

Related Items (6)

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

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Positive semidefinite germs on the cone.
• On Hilbert's 17th problem and real Nullstellensatz for global analytic functions
• On the Pythagoras number of a real irreducible algebroid curve
• Sums of two squares in analytic rings
• Analytic surface germs with minimal Pythagoras number
• Some remarks on pythagorean real curve germs
• On sums of squares in local rings
• The Pythagoras number of some affine algebras and local algebras.
• Sums of squares of regular functions on real algebraic varieties
• Pythagoras numbers of real irreducible algebroid curves and Gram matrices
• Positive semidefinite germs in real analytic surfaces

This page was built for publication: Sums of squares in real analytic rings