Inertial law of symplectic forms on modules over plural algebra
Mathematica Bohemica (1997)
- Volume: 122, Issue: 2, page 191-196
- ISSN: 0862-7959
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topJukl, Marek. "Inertial law of symplectic forms on modules over plural algebra." Mathematica Bohemica 122.2 (1997): 191-196. <http://eudml.org/doc/248120>.
@article{Jukl1997,
abstract = {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.},
author = {Jukl, Marek},
journal = {Mathematica Bohemica},
keywords = {linear algebra; free module; symplectic form; symplectic basis; bilinear form; linear algebra; free module; symplectic form; symplectic basis; bilinear form},
language = {eng},
number = {2},
pages = {191-196},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Inertial law of symplectic forms on modules over plural algebra},
url = {http://eudml.org/doc/248120},
volume = {122},
year = {1997},
}
TY - JOUR
AU - Jukl, Marek
TI - Inertial law of symplectic forms on modules over plural algebra
JO - Mathematica Bohemica
PY - 1997
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 122
IS - 2
SP - 191
EP - 196
AB - 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.
LA - eng
KW - linear algebra; free module; symplectic form; symplectic basis; bilinear form; linear algebra; free module; symplectic form; symplectic basis; bilinear form
UR - http://eudml.org/doc/248120
ER -
References
top- F. W. Anderson F. K. Fuller, Rings and Categories of Modules, Springer-Verlag, New-York, 1973. (1973) MR1245487
- E. Artin, Geometric Algebra, Nauka, Moskva, 1969. (In Russian.) (1969) Zbl0174.29401MR0242847
- M. F. Atiyah I. G. MacDonald, Introduction to Commutative Algebra, Mir, Moskva, 1972. (In Russian.) (1972) MR0349645
- M. Jukl, Grassmann formula for certain type of modules, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 3Jt (1995), 69-74. (1995) Zbl0860.13006MR1447256
- M. Jukl, Inertial laws of quadratic forms on modules over plural algebra, Math. Bohem. 120 (1995), 255-263. (1995) MR1369684
- M. Jukl, Linear forms on free modules over certain local ring, Acta Univ. Palack. Olomuc. Fac. Rerum Natur. Math. 32 (1993), 49-62. (1993) Zbl0810.13006MR1273169
- B. R. McDonald, Geometric Algebra over Local Rings, Pure and applied mathematics. New York, 1976. (1976) Zbl0346.20027MR0476639
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