Abstract
AbstractFor a field extension we consider maps that are quadratic over but whose polarisation is only bilinear over . Our main result is that all such are automatically quadratic forms over in the usual sense if and only if is formally unramified. In particular, this shows that over finite and number fields, one of the axioms in the standard definition of quadratic forms is superfluous.
Full Text
Sign-in/Register to access full text options
Published version (Free)
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have