Golovashchuk, N. S.; Kryukova, G. V. Non-negativity criterion for integer quadratic forms. (Ukrainian. English summary) Zbl 1199.11092 Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2009, No. 4, 7-13 (2009). 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 Keywords:integer quadratic form; Dynkin diagram; non-negativity criterion PDFBibTeX XMLCite \textit{N. S. Golovashchuk} and \textit{G. V. Kryukova}, Visn., Ser. Fiz.-Mat. Nauky, Kyïv. Univ. Im. Tarasa Shevchenka 2009, No. 4, 7--13 (2009; Zbl 1199.11092)