Über die Stufe von Dedekind Ringen

DOI10.1007/BF01222751zbMath0421.10015MaRDI QIDQ1132908

S. H. Smith

Publication date: 1979

Published in: Archiv der Mathematik (Search for Journal in Brave)

zbMATH Keywords

quadratic formssum of squaresDedekind ringslevel of a ringpythagoras number

Mathematics Subject Classification ID

Fields related with sums of squares (formally real fields, Pythagorean fields, etc.) (12D15) Dedekind, Prüfer, Krull and Mori rings and their generalizations (13F05) General binary quadratic forms (11E16) Local rings and semilocal rings (13H99)

Related Items (3)

Sums of squares in nonreal commutative rings ⋮ Sums of squares in some integral domains ⋮ On the level of principal ideal domains

Cites Work

• Klassenzahlen indefiniter quadratischer Formen in drei oder mehr Veränderlichen
• Generalization of a theorem of Artin-Pfister to arbitrary semilocal rings, and related topics
• Quadratic forms over semilocal rings
• On the Witt ring and some arithmetical invariants of quadratic forms
• The Map of the Witt Ring of a Domain into the Witt Ring of its Field of Fractions
• Summen von Quadranten in Zahlringen.

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