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Non-negativity criterion for integer quadratic forms. (Ukrainian. English summary) Zbl 1199.11092

Summary: We deal with properties of the non-negativity of quadratic forms. For an integer quadratic form, a non-negativity criterion is given. We compare the non-negativity criterion for integer quadratic forms, integer unit forms, real quadratic forms.

MSC:

15A63 Quadratic and bilinear forms, inner products
16G10 Representations of associative Artinian rings
17B05 Structure theory for Lie algebras and superalgebras
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