# Inertial law of quadratic forms on modules over plural algebra

Mathematica Bohemica (1995)

- Volume: 120, Issue: 3, page 255-263
- ISSN: 0862-7959

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topJukl, Marek. "Inertial law of quadratic forms on modules over plural algebra." Mathematica Bohemica 120.3 (1995): 255-263. <http://eudml.org/doc/247806>.

@article{Jukl1995,

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 $\mathbb \{R\}$ ( real plural algebra) introduced in [1].},

author = {Jukl, Marek},

journal = {Mathematica Bohemica},

keywords = {quadratic forms over a real plural algebra; plural signature; inertia theorem; free module; bilinear form; polar basis; linear algebra; quadratic form; quadratic forms over a real plural algebra; plural signature; inertia theorem; free module; bilinear form; polar basis},

language = {eng},

number = {3},

pages = {255-263},

publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},

title = {Inertial law of quadratic forms on modules over plural algebra},

url = {http://eudml.org/doc/247806},

volume = {120},

year = {1995},

}

TY - JOUR

AU - Jukl, Marek

TI - Inertial law of quadratic forms on modules over plural algebra

JO - Mathematica Bohemica

PY - 1995

PB - Institute of Mathematics, Academy of Sciences of the Czech Republic

VL - 120

IS - 3

SP - 255

EP - 263

AB - 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 $\mathbb {R}$ ( real plural algebra) introduced in [1].

LA - eng

KW - quadratic forms over a real plural algebra; plural signature; inertia theorem; free module; bilinear form; polar basis; linear algebra; quadratic form; quadratic forms over a real plural algebra; plural signature; inertia theorem; free module; bilinear form; polar basis

UR - http://eudml.org/doc/247806

ER -

## References

top- M. Jukl, Linear forms on free modules over certain local ring, Acta UP Olomouc, Fac. rer. nat. 110; Matematica 32 (1993), 49-62. (1993) Zbl0810.13006MR1273169
- M. F. Atiyah, I. G. MacDonald, Introduction to commutative algebra, Addison-Wesley, Reading, Massachusetts, 1969. (1969) Zbl0175.03601MR0242802
- B. R. McDonald, Geometric algebra over local rings, Pure and applied mathematics. New York, 1976. (1976) Zbl0346.20027MR0476639

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