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Pythagorean real curve germs

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Publication:1087603
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DOI10.1016/0021-8693(85)90207-8zbMath0611.14023OpenAlexW2011388699MaRDI QIDQ1087603

Jesus Ma. Ruiz Sancho

Publication date: 1985

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

Full work available at URL: https://doi.org/10.1016/0021-8693(85)90207-8


zbMATH Keywords

real closed fieldsum of squaresreal AP-curve


Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Valuations and their generalizations for commutative rings (13A18) Valued fields (12J10) Real algebraic and real-analytic geometry (14Pxx)


Related Items

Arf numerical semigroups. ⋮ Some remarks on pythagorean real curve germs ⋮ On the Pythagoras number of a real irreducible algebroid curve ⋮ Pythagoras numbers of real irreducible algebroid curves and Gram matrices



Cites Work

  • Unnamed Item
  • Unnamed Item
  • Algebroid curves in positive characteristic
  • Approximation properties and existential completeness for ring morphisms
  • On the solutions of analytic equations
  • The Pythagoras number of some affine algebras and local algebras.
  • The Value-Semigroup of a One-Dimensional Gorenstein Ring
  • Stable Ideals and Arf Rings
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