Department of Algebra and Geometry, Palacky University, Tomkova 40, 771 46 Olomouc, Czech Republic, e-mail: email@example.com
Abstract: Quadratic forms on a free finite-dimensional module are investigated. It is shown that the inertial law can be suitably generalized provided the vector space is replaced by a free finite-dimensional module over a certain linear algebra over $\R$ ( real plural algebra) introduced in .
Keywords: linear algebra, free module, bilinear form, quadratic form, polar basis
Classification (MSC 1991): 10C03
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