I. Panin, U. Rehmann, “A variant of a theorem by Springer”, Algebra i Analiz, 2007, Volume 19, Issue 6,Pages <nobr>117

This article is cited in 7 papers

Research Papers

A variant of a theorem by Springer

I. Panin^ab, U. Rehmann^b

^a St. Petersburg Department of V. A. Steklov Institute of Mathematics, Russian Academy of Sciences
^b Fakultät für Mathematik, Universität Bielefeld, Bielefeld, Germany

Abstract: The theorem in question gives a sufficient condition for a quadratic space over a local ring $R$ to contain a hyperbolic plane over $R$.

Keywords: Quadratic forms, Springer's theorem, local domain.

MSC: Primary 53A04; Secondary 52A40, 52A10

Received: 30.07.2007

Language: English