Geodesic
Quadratic spaces and quaternion algebras
Zapiski Nauchnykh Seminarov POMI, Rings and linear groups, Tome 75 (1978), pp. 110-120

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It is shown that the existence of a nontrivial quaternion algebra over a field $F$ of characteristic not equal to 2 implies the existence of quadratic $F[X_1,\dots,X_n]$-spaces ($n\ge2$) which are not extensions of $F$. Bibl. 11 titles. 
@article{ZNSL_1978_75_a11,
     author = {V. I. Kopeiko},
     title = {Quadratic spaces and quaternion algebras},
     journal = {Zapiski Nauchnykh Seminarov POMI},
     pages = {110--120},
     publisher = {mathdoc},
     volume = {75},
     year = {1978},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZNSL_1978_75_a11/}
}
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PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/ZNSL_1978_75_a11/
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V. I. Kopeiko. Quadratic spaces and quaternion algebras. Zapiski Nauchnykh Seminarov POMI, Rings and linear groups, Tome 75 (1978), pp. 110-120. http://geodesic.mathdoc.fr/item/ZNSL_1978_75_a11/