Geodesic
Inertial law of quadratic forms on modules over plural algebra
Mathematica Bohemica, Tome 120 (1995) no. 3, pp. 255-263

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MR Zbl
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].
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].
DOI : 10.21136/MB.1995.126009
Classification : 11E04, 11E08, 11E39, 15A63
Keywords: quadratic forms over a real plural algebra; plural signature; inertia theorem; free module; bilinear form; polar basis; linear algebra; quadratic form 
Jukl, Marek. Inertial law of quadratic forms on modules over plural algebra. Mathematica Bohemica, Tome 120 (1995) no. 3, pp. 255-263. doi: 10.21136/MB.1995.126009
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[1] M. Jukl: Linear forms on free modules over certain local ring. Acta UP Olomouc, Fac. rer. nat. 110; Matematica 32 (1993), 49-62. | MR | Zbl

[2] M. F. Atiyah, I. G. MacDonald: Introduction to commutative algebra. Addison-Wesley, Reading, Massachusetts, 1969. | MR | Zbl

[3] B. R. McDonald: Geometric algebra over local rings. Pure and applied mathematics. New York, 1976. | MR | Zbl

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