This article is cited in 1 paper

Symmetric Forms over Semilocal Rings

Ol'ga A. Starikova

North-Eastern State University

Abstract: The necessary and sufficient conditions for congruence of quadratic forms over a local ring with a principal maximal ideal are considered. Up to this congruence, symmetric matrices over polynomial algebras are enumerated.

Keywords: symmetric forms, projective congruence, normal form, local ring of coefficients, polynomial algebras.

UDC: 512.7

Received: 10.10.2008
Received in revised form: 15.12.2008
Accepted: 10.01.2009

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