Quadratic forms are closely related to orthosymmetric sesquilinear forms and, to a large extent, they behave very similarly. In fact, the two concepts partly overlap (cf. Example 2 in Section 3 below).
KeywordsQuadratic Form Singular Vector Division Ring Hyperbolic Plane Hermitean Form
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References to Appendix I
- A.A. Albert, Structure of Algebras.(3rd print. of rev. ed.) AMS Coll. Publ. XXIV, NY 1968.Google Scholar
- M. Deuring, Algebren. (Zweite, korrigierte Auflage), Ergebnisse der Math. vol 41, Springer Berlin 1968.Google Scholar
- I.N. Herstein, Noncommutative Rings. Carus Math. Monographs 15, Math. Assoc. of America 1968, distr. by J. Wiley & Sons, Inc.Google Scholar