Geodesic
Quadratic modules over polynomial rings
Zapiski Nauchnykh Seminarov POMI, Algebraic numbers and finite groups, Tome 86 (1979), pp. 114-124 
V. I. Kopeiko; A. A. Suslin. Quadratic modules over polynomial rings. Zapiski Nauchnykh Seminarov POMI, Algebraic numbers and finite groups, Tome 86 (1979), pp. 114-124. http://geodesic.mathdoc.fr/item/ZNSL_1979_86_a10/
@article{ZNSL_1979_86_a10,
     author = {V. I. Kopeiko and A. A. Suslin},
     title = {Quadratic modules over polynomial rings},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {114--124},
     year = {1979},
     volume = {86},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1979_86_a10/}
}
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TI  - Quadratic modules over polynomial rings
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SP  - 114
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VL  - 86
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1979_86_a10/
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ID  - ZNSL_1979_86_a10
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%P 114-124
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%U http://geodesic.mathdoc.fr/item/ZNSL_1979_86_a10/
%G ru
%F ZNSL_1979_86_a10

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

One gives the complete solution of the problem of the reduction of quadratic spaces for the polynomial ring over a field.