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Inertial law of quadratic forms on modules over plural algebra. (English) Zbl 0867.11023

The author discusses quadratic forms over a real plural algebra (i.e. the algebra generated over reals by a single nilpotent). He defines plural signature of a form and proves its independence of the choice of normal polar basis. This is a generalization of the well-known inertia theorem.

MSC:

11E04 Quadratic forms over general fields
11E39 Bilinear and Hermitian forms
15A63 Quadratic and bilinear forms, inner products
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