| Title:
|
Inertial law of quadratic forms on modules over plural algebra (English) |
| Author:
|
Jukl, Marek |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
120 |
| Issue:
|
3 |
| Year:
|
1995 |
| Pages:
|
255-263 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
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]. (English) |
| Keyword:
|
quadratic forms over a real plural algebra |
| Keyword:
|
plural signature |
| Keyword:
|
inertia theorem |
| Keyword:
|
free module |
| Keyword:
|
bilinear form |
| Keyword:
|
polar basis |
| Keyword:
|
linear algebra |
| Keyword:
|
quadratic form |
| MSC:
|
11E04 |
| MSC:
|
11E08 |
| MSC:
|
11E39 |
| MSC:
|
15A63 |
| idZBL:
|
Zbl 0867.11023 |
| idMR:
|
MR1369684 |
| DOI:
|
10.21136/MB.1995.126009 |
| . |
| Date available:
|
2009-09-24T21:11:27Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126009 |
| . |
| Reference:
|
[1] M. Jukl: Linear forms on free modules over certain local ring.Acta UP Olomouc, Fac. rer. nat. 110; Matematica 32 (1993), 49-62. Zbl 0810.13006, MR 1273169 |
| Reference:
|
[2] M. F. Atiyah, I. G. MacDonald: Introduction to commutative algebra.Addison-Wesley, Reading, Massachusetts, 1969. Zbl 0175.03601, MR 0242802 |
| Reference:
|
[3] B. R. McDonald: Geometric algebra over local rings.Pure and applied mathematics. New York, 1976. Zbl 0346.20027, MR 0476639 |
| . |
