Geodesic
Symmetric Forms over Semilocal Rings
Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 1, pp. 116-121

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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
Mots-clés : polynomial algebras. 
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     author = {Ol'ga A. Starikova},
     title = {Symmetric {Forms} over {Semilocal} {Rings}},
     journal = {\v{Z}urnal Sibirskogo federalʹnogo universiteta. Matematika i fizika},
     pages = {116--121},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/JSFU_2009_2_1_a10/}
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Ol'ga A. Starikova. Symmetric Forms over Semilocal Rings. Žurnal Sibirskogo federalʹnogo universiteta. Matematika i fizika, Tome 2 (2009) no. 1, pp. 116-121. http://geodesic.mathdoc.fr/item/JSFU_2009_2_1_a10/