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MATHEMATICA BOHEMICA, Vol. 120, No. 3, pp. 255-263, 1995
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Inertial law of quadratic forms on modules over plural algebra

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Marek Jukl

Department of Algebra and Geometry, Palacky University, Tomkova 40, 771 46 Olomouc, Czech Republic, e-mail: jukl@matnw.upol.cz

**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 [1].

**Keywords:** linear algebra, free module, bilinear form, quadratic form, polar basis

**Classification (MSC 1991):** 10C03

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