| Title:
|
Inertial law of symplectic forms on modules over plural algebra (English) |
| Author:
|
Jukl, Marek |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
122 |
| Issue:
|
2 |
| Year:
|
1997 |
| Pages:
|
191-196 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| Summary:
|
In this paper the problem of construction of the canonical matrix belonging to symplectic forms on a module over the so called plural algebra (introduced in [5]) is solved. (English) |
| Keyword:
|
linear algebra |
| Keyword:
|
free module |
| Keyword:
|
symplectic form |
| Keyword:
|
symplectic basis |
| Keyword:
|
bilinear form |
| MSC:
|
15A63 |
| MSC:
|
16D40 |
| MSC:
|
51A50 |
| idZBL:
|
Zbl 0892.15019 |
| idMR:
|
MR1460949 |
| DOI:
|
10.21136/MB.1997.125919 |
| . |
| Date available:
|
2009-09-24T21:25:03Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/125919 |
| . |
| Reference:
|
[1] F. W. Anderson F. K. Fuller: Rings and Categories of Modules.Springer-Verlag, New-York, 1973. MR 1245487 |
| Reference:
|
[2] E. Artin: Geometric Algebra.Nauka, Moskva, 1969. (In Russian.) Zbl 0174.29401, MR 0242847 |
| Reference:
|
[3] M. F. Atiyah I. G. MacDonald: Introduction to Commutative Algebra.Mir, Moskva, 1972. (In Russian.) MR 0349645 |
| Reference:
|
[4] M. Jukl: Grassmann formula for certain type of modules.Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 3Jt (1995), 69-74. Zbl 0860.13006, MR 1447256 |
| Reference:
|
[5] M. Jukl: Inertial laws of quadratic forms on modules over plural algebra.Math. Bohem. 120 (1995), 255-263. MR 1369684 |
| Reference:
|
[6] M. Jukl: Linear forms on free modules over certain local ring.Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 32 (1993), 49-62. Zbl 0810.13006, MR 1273169 |
| Reference:
|
[7] B. R. McDonald: Geometric Algebra over Local Rings.Pure and applied mathematics. New York, 1976. Zbl 0346.20027, MR 0476639 |
| . |
