Pfister’s Theorem Fails in the Free Case

DOI10.1007/978-3-0348-0411-0_14zbMath1276.16018arXiv1102.1768OpenAlexW1577253818MaRDI QIDQ2849463

Martin Harrison

Publication date: 18 September 2013

Published in: Mathematical Methods in Systems, Optimization, and Control (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1102.1768

zbMATH Keywords

sums of squarespositive polynomialsPfister theorem17th Hilbert problemfree *-algebras

Mathematics Subject Classification ID

Arithmetic theory of algebraic function fields (11R58) Associative rings determined by universal properties (free algebras, coproducts, adjunction of inverses, etc.) (16S10) Sums of squares and representations by other particular quadratic forms (11E25) Ordinary and skew polynomial rings and semigroup rings (16S36) Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Hermitian, skew-Hermitian, and related matrices (15B57) Rings with involution; Lie, Jordan and other nonassociative structures (16W10)

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