Zapiski Nauchnykh Seminarov POMI, Rings and linear groups, Tome 75 (1978), pp. 110-120
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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/
@article{ZNSL_1978_75_a11,
author = {V. I. Kopeiko},
title = {Quadratic spaces and quaternion algebras},
journal = {Zapiski Nauchnykh Seminarov POMI},
pages = {110--120},
year = {1978},
volume = {75},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZNSL_1978_75_a11/}
}
TY - JOUR
AU - V. I. Kopeiko
TI - Quadratic spaces and quaternion algebras
JO - Zapiski Nauchnykh Seminarov POMI
PY - 1978
SP - 110
EP - 120
VL - 75
UR - http://geodesic.mathdoc.fr/item/ZNSL_1978_75_a11/
LA - ru
ID - ZNSL_1978_75_a11
ER -
%0 Journal Article
%A V. I. Kopeiko
%T Quadratic spaces and quaternion algebras
%J Zapiski Nauchnykh Seminarov POMI
%D 1978
%P 110-120
%V 75
%U http://geodesic.mathdoc.fr/item/ZNSL_1978_75_a11/
%G ru
%F ZNSL_1978_75_a11
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.
