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Abstract
In this note we deal with the existence of transversals in quadratic spaces over rings with many units. As applications we extend to these rings some classical results on quadratic Pfister spaces over semilocal rings.
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Acknowledgment
The first author was partially sponsored by CAPES/Procad, the second by FAPESP and the third by CNPq and CAPES/Procad (Brazil).
Notes
#Communicated by M. Ferrero.